Innovative companies rapidly deploy hybrid cloud computing to leverage highly scalable, flexible, and secure infrastructure, services, and applications. Hybrid cloud computing accelerates modern businesses by supporting innovation and faster development and deployment of cloud-hosted services and applications. Companies leverage innovative models such as Platform as a service, infrastructure as a service, and software to achieve strategic goals and objectives. However, despite the immense benefits, cloud computing is vulnerable to multiple cybersecurity threats and attacks. Distributing services and applications in a hybrid cloud computing environment requires secured and encrypted security solutions---the complex connection between various cloud infrastructures and varied configurations sophisticate data security in a cloud computing environment. The proposed security solution leverages a hybrid of cryptography and steganography to provide robust security and privacy of data in cloud computing. The algorithms and techniques combined include Rivest Sharmir Adelman, Advanced Encryption Standard, and Least Significant Bit. The security model designed and developed using design science research methodology adds an extra layer of security by integrating data backup and recovery mechanisms and best practices.