To "propose" means to suggest an idea or plan for others to consider. This can happen in various situations, such as when someone wants to start a new project at work or when a person wants to ask another to marry them. Proposals often include details about what is being suggested and why it is a good idea.
In a more formal context, like in business or academics, a proposal is usually written down and presented to a group. For example, a business proposal outlines a plan to improve sales, while a research proposal explains a study's purpose and methods.