at-Tirmidhi has reported something similar, narrated by Ibn 'Umar, without mentioning the midtime. [It is Da'if (weak) too].

وَلِلتِّرْمِذِيِّ مِنْ حَدِيثِ اِبْنِ عُمَرَ نَحْوُهُ, دُونَ اَلْأَوْسَطِ, وَهُوَ ضَعِيفٌ أَيْضًا [1]‏