Hisham narrated it from his father, who narrated it on the authority of 'A'isha that when the Apostle ﷺ took a bath because of sexual inter-course, he first washed the palms of his hands three times, and then the whole hadith was transmitted like that based on the authority of Abu Mu'awyia, but no mention is made of the washing of feet.
أَنَّ النَّبِيَّ ﷺ اغْتَسَلَ مِنَ الْجَنَابَةِ فَبَدَأَ فَغَسَلَ كَفَّيْهِ ثَلاَثًا ثُمَّ ذَكَرَ نَحْوَ حَدِيثِ أَبِي مُعَاوِيَةَ وَلَمْ يَذْكُرْ غَسْلَ الرِّجْلَيْنِ