noun
proposal; offer; request; application
A formal or polite proposal, offer, or request. Often used in business or official contexts. Synonymous with 申し出, but 申し出で is a slightly older or more formal variant.
See also: 申し出
彼の申し出でを受け入れることにした。
We decided to accept his proposal.
I submitted a proposal for improvement to the company.
申し出 is the more common modern form with the same meaning. 申し出で is a slightly older or more formal variant, less frequent in everyday speech.
Derived from the verb 申し出る (もうしいでる, 'to propose, to offer') via its continuative form. The spelling 申し出で reflects the older okurigana convention.