The phrase often implies that the person helping holds some influence or authority that was pivotal in assisting. She found an apartment through her boss's good offices.
Pro Tip 2/3
Formality Level
It is formal and best used in professional or official contexts, rather than casual conversation. The treaty was signed through the good offices of the ambassador.
Pro Tip 3/3
Not Literal
The phrase is figurative, meaning the person's influence is used, not their physical office space. We resolved the dispute through the good offices of a mutual friend.