Al-Matalib al-'Aliyah 242 — What one says on hearing the muezzin

It is narrated from Sayyiduna Abu Umamah (may Allah be pleased with him) that the Prophet (peace and blessings be upon him) said: "When the caller (the mu'adhdhin) calls to the prayer, the gates of the heaven are opened and supplication is answered. So whoever is afflicted with some distress, grief or severe hardship should wait for the call of the mu'adhdhin; then when the mu'adhdhin says the takbir, he too should say the takbir; when he pronounces the testimony of faith, this person too should pronounce the testimony of faith; when the mu'adhdhin says 'hayya 'ala al-salah', this person too should say 'hayya 'ala al-salah'; and when he says 'hayya 'ala al-falah', this person too should say 'hayya 'ala al-falah'. Then he should recite this supplication: 'Allahumma rabba hadhihi al-da'wati al-tammah, da'wati al-haqqi al-mustajabah, al-mustajabi laha, da'wati al-haqqi wa kalimati al-taqwa, ahyina 'alayha, wa amitna 'alayha, wa-b'athna 'alayha, waj'alna min khiyari ahliha mahyana wa mamatana' (O Allah, Lord of this perfect call, of this true call which attains acceptance and whose call is heard, which is the call of truth and the word of piety: keep us alive upon it (faith and tawhid), grant us death upon it, raise us again upon it, and include us among its best people in both life and death). After that he should ask Allah Almighty for his need."
Imam al-Tabarani narrated this hadith in detail in the book al-Du'a through Abdullah bin Ahmad from al-Hakam bin Musa.
Also, Imam al-Hakim narrated it in detail in al-Mustadrak through al-Haytham bin Kharijah from al-Walid.
And Ahmad bin Mani' narrated it from al-Haytham, but his narration goes only as far as the words "and supplication is answered", and he did not mention the later part.