How did the Prophet do musafaha?
The normal habit of the Holy Prophet Sallallahu Alaihe Wa Sallam was to use both hands when making Musafah (handshake). It appears in one narration of Abdullah Ibn Masood (R.A) that once the Holy Prophet Sallallahu Alaihe Wa Sallam shook his hand and his hand was in between the two hands of the Holy Prophet Sallallahu Alaihe Wa Sallam.
Therefore, when you shake hand, you should do so with both hands. However, there is no harm is making Musafah with the right hand only especially if there is an excuse.
And Allah knows best.
Mufti Ikram ul Haq
Fatwa Center of America