ReactJS chat application that utilizes Firebase for real-time communication and logs chat history to a MySQL database

I need a ReactJS chat application that utilizes Firebase for real-time communication and logs chat history to a MySQL database. The app should support group chats, but only text messages.

Key Requirements:
- Implement group chat functionality
- Use Firebase for real-time communication
- Save chat history in a MySQL database
- Develop the application in ReactJS

Ideal Skills:
- Proficiency in ReactJS
- Experience with Firebase
- Familiarity with MySQL
- Ability to implement group chat functionality

Please note that the chat application only needs to handle text messages. As such, the project doesn't require support for multimedia messages.