The Messenger of Allah (ﷺ) prayed on the day the sun was eclipsed, bowing four times in two rak'ahs and prostrating four times.
Sunan an-Nasa'i Book 16, Hadith 11
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The Prophet (ﷺ) prayed when there was an eclipse. He recited then he bowed, then he recited then he bowed, then he recited then he bowed, then he recited then he bowed, then he prostrated, and he did the second rak'ahs in same fashion.
Sunan an-Nasa'i Book 16, Hadith 10 Next Hadith → "I heard Ubaid bin Umair say: 'Someone whom I trust'- and I think he meant Aishah- told me: There was an eclipse of the sun during the time of the Messenger of Allah (ﷺ). He led the people in prayer and stood for a very long time, then he bowed, then he stood, then he bowed, then he stood, then he bowed. He prayed two rak'ahs, bowing three times in each rak'ah. After bowing for the third time he prostrated for a long time. Some men fainted on that day and had to be revived by having buckets of water thrown over them, because of having stood for so log. When he bowed, he said: Allahu Akbar, and when he raised his head, he said: Sami' Allahu lima hamidah.He did not finish until the eclipse had ended. Then he stood and praised and glorified Allah (SWT) and said: The sun and moon do not eclipse for the death or birth of anyone, but they are two of the signs of Allah (SWT) with which He strikes fear unto you. If they are eclipsed then turn to the remembrance of Allah, the Mighty and Sublime, until it (the eclipse) is over.'"
Sunan an-Nasa'i Book 16, Hadith 12
Sunan an-Nasa'i Book 16, Hadith 10 Next Hadith → "I heard Ubaid bin Umair say: 'Someone whom I trust'- and I think he meant Aishah- told me: There was an eclipse of the sun during the time of the Messenger of Allah (ﷺ). He led the people in prayer and stood for a very long time, then he bowed, then he stood, then he bowed, then he stood, then he bowed. He prayed two rak'ahs, bowing three times in each rak'ah. After bowing for the third time he prostrated for a long time. Some men fainted on that day and had to be revived by having buckets of water thrown over them, because of having stood for so log. When he bowed, he said: Allahu Akbar, and when he raised his head, he said: Sami' Allahu lima hamidah.He did not finish until the eclipse had ended. Then he stood and praised and glorified Allah (SWT) and said: The sun and moon do not eclipse for the death or birth of anyone, but they are two of the signs of Allah (SWT) with which He strikes fear unto you. If they are eclipsed then turn to the remembrance of Allah, the Mighty and Sublime, until it (the eclipse) is over.'"
Sunan an-Nasa'i Book 16, Hadith 12