This report provides an overview of project management methodologies, emphasizing the Scrum framework and its application in the context of the Royal Defence company, a defense sector organization founded in 2017. The report begins with an introduction to project management methodologies, highlighting their importance in organizing projects, estimating costs, and improving resource allocation. It then delves into the Scrum methodology, detailing its processes, roles (Product Owner, Scrum Master, and development team), artifacts (product backlog, sprint backlog, and product increment), and events (sprint, sprint retrospective, sprint planning, and daily scrum). Furthermore, the report examines the knowledge areas of Scrum, including integration, scope, time, cost, quality, human resource, communication, risk, and procurement management. A significant portion of the report focuses on the application of Scrum at Royal Defence, emphasizing its role in enhancing software development efficiency and customer satisfaction within the defense sector. The report concludes by underscoring the significance of effective project methodologies, especially Scrum, for project managers aiming to develop efficient software solutions. The report references several academic sources to support its findings and recommendations.