Magnetosonic solutions, which are a generalization of the recently discovered relativistic zero-temperature soliton in including a self-consistent temperature, are found to exist, and are also highly electrically charged. The maximally allowed potential drop across the half-width of a relativistically propagating soliton is approximately 1/12(gamma infinity)1/2-gamma-t infinity beta-t infinity GV when (gamma infinity)1/2-gamma-t infinity beta-t infinity >> 1, where gamma infinity and gamma-t infinity are the Lorentz factors of the soliton speed and background ion thermal speed, respectively. The soliton is reduced to the previously found cold one, which is charged up to 1 GV, when the above inequality is reversed.