When "Glorify the name of your mighty Lord" was revealed, the Messenger of Allah ﷺ said: Use it when bowing, and when "Glorify the name of your most high Lord" was revealed, he said: Use it when prostrating yourself. (Using translation from Abū Dāʾūd 869)   

لَنَا رَسُولُ اللَّهِ ﷺ «اجْعَلُوهَا فِي رُكُوعِكُمْ» فَلَمَّا نَزَلَتْ {سَبِّحِ اسْمَ رَبِّكَ الْأَعْلَى} [الأعلى 1] قَالَ «اجْعَلُوهَا فِي سُجُودِكُمْ»  

he performed Salat with the Prophet, and that while he was bowing he would say: (Subhana Rabbiyal Azim); "Glorious is my Lord the Magnificent" and while prostrating: (Subhana Rabbiyal A'la) 'Glorious is my Lord the Most High.' And he would not recite an Ayah mentioning mercy, except that he would stop and ask (for mercy), and he would not recite an Ayah mentioning punishment, except that he would stop and seek refuge (with Allah from it). (Using translation from Tirmidhī 262)  

أَنَّهُ صَلَّى مَعَ النَّبِيِّ ﷺ ذَاتَ لَيْلَةٍ فَكَانَ يَقُولُ فِي رُكُوعِهِ «سُبْحَانَ رَبِّيَ الْعَظِيمِ» وَفِي سُجُودِهِ «سُبْحَانَ رَبِّيَ الْأَعْلَى» وَمَا أَتَى عَلَى آيَةِ رَحْمَةٍ إِلَّا وَقَفَ عِنْدَهَا فَسَأَلَ وَمَا أَتَى عَلَى آيَةِ عَذَابٍ إِلَّا تَعَوَّذَ