In the work the diffraction approach applications to the quantum scattering problems of three three-dimensional charged quantum particles are considered for the construction of the Schrodinger operator eigenfunction asymptotics in different domains of configuration space. For the physically most interesting problem of cluster scattering with account of the breakup reaction a construction scheme of the complete scattering problem solution is offered. The scheme permits to estimate the calculation accuracy. It also admits a generalization for the case of a larger number of particles in the system.