All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
There is no harm in you searching for someone to do the service for that person for a price lower than what he offers, but you are not entitled to take the difference without his knowledge. You may agree with him that you are going to search for someone to do the work for him in return for a determined commission, or that you will receive the difference between the amount agreed with the service provider and the amount offered by your customer.
In a transaction involving an intermediary, it is required that the person from whom you receive the money knows about it; otherwise, it will consist in consuming his money unjustly, which is one of the major sins. Allaah says (what means): {And do not consume one another's wealth unjustly or send it [in bribery] to the rulers in order that [they might aid] you [to] consume a portion of the wealth of the people in sin, while you know [it is unlawful].} [Quran 2:188]
We have mentioned that it is required that the person from whom you receive the money knows about it because the intermediary or brokerage transaction in reality involves Ji'aalah, i.e. a payment in return for the performance of a job, and this requires an offer and an acceptance between the two contracting parties in the Ji'aalah.
Allaah Knows best.