Intervention or assistance provided to facilitate something (recommendation, arranging services, using one's influence to help).
知人の斡旋でその会社に就職することができた。
Thanks to an acquaintance's assistance, I was able to get a job at that company.
旅行会社の斡旋でホテルを手配してもらった。
I had a hotel arranged through the travel agency's services.
地元の不動産業者が入居先の斡旋をしてくれた。
A local real-estate agent helped arrange a place to move into.
Mediation or conciliation: acting as an intermediary to resolve disputes or bring parties to agreement.
市は労使の間を斡旋して合意をまとめた。
The city mediated between labor and management and reached an agreement.
弁護士が両者の間に入って斡旋した結果、和解に至った。
After a lawyer mediated between the two parties, they reached a settlement.
仲介業者の斡旋で、賃貸契約が無事に成立した。
With the intermediary's mediation, the rental contract was successfully concluded.