Data security is a crucial concern that ought to be managed to help protect vital data. Cryptography is one of the conventional approaches for securing data and is generally considered a fundamental data security component that provides privacy, integrity, confidentiality, and authentication. In this paper, a hybrid data security algorithm is proposed by integrating traditional RSA and Gaussian Interpolation formulas. The integration raises the security strength of RSA to the fifth degree. The Gaussian First Forward Interpolation is used to encrypt the ASCII values of the message after which the traditional RSA is used to encrypt and decrypt the message in the second and third levels. The last stage employs Gaussian Backward Interpolation to decrypt the data again. The integration helps to cater to the factorization problem of the traditional RSA. Comparative analysis was performed using four different algorithms; RSA, SRNN, 2-Key pair algorithms, and the proposed algorithm. It is proven that when the data size is small the encryption and decryption times are lower for the proposed algorithm but higher when the data size is big.