The Messenger of Allah (ﷺ) prayed at the solar eclipse as reported in the tradition narrated by 'Urwah from Aishah from the Messenger of Allah (ﷺ) that he offered two rak'ahs of prayer bowing twice in each rak'ah.
Sunan Abi Dawud Book 3, Hadith 21
← Previous Hadith There was an eclipse of the sun during the lifetime of the Messenger of Allah (ﷺ)came tot he mosque; he stood up and uttered the takbir (Allah is great); the people stood in rows behind him; the Messenger of Allah (ﷺ) recited from the Quran for a long time; then he uttered the takbir (Allah is most great) and performed bowing for a long time, then he raised his head and said: Allah listens to him who praises Him; our Lord, and to Thee be praise; then he stood up and recited from the Qur'an for a long time, but it was less than the first (recitation); he then bowed for a long time, but it was less than the first bowing; he then said, Allah listens to him who praises Him; our Lord, and to Thee be praise. he then did so in the second rak'ah. he thus completed four bowings and four prostrations. The sun had become bright before he departed.

Sunan Abi Dawud Book 3, Hadith 20 Next Hadith → An eclipse of the sun took place in the time of the Messenger of Allah (ﷺ). The Prophet (ﷺ) led them in prayer. He recited one of the long surahs, bowing five times and prostrating himself twice. He then stood up for the second rak'ah, recited one of the long surahs, bowed five times, prostrated himself twice, then sat where he was facing the qiblah and made the supplication till the eclipse was over.

Sunan Abi Dawud Book 3, Hadith 22