This thesis describes the CDF II 2 fb(sup -1) search for supersymmetric chargino-neutralino production in (radical)s = 1.96TeV p(bar p) collisions using the 'golden' channel with three leptons and missing transverse energy in the final state and the application of the results to obtain a limit on the parameter space of the supersymmetric model mSUGRA. Electrons and muons are reconstructed directly; isolated tracks are used as a proxy for (tau) leptons. Several analysis channels with different signal purity are defined and evaluated independently. Based on 7 observed and 6.4 expected background events this analysis was able set the first direct limits on chargino-neutralino production in mSUGRA since LEP. Based on mSUGRA phenomenology the sensitivity of this analysis is investigated; the mSUGRA parameter space is split into different phenomenology classes. Experimental results from previous searches in this channel by CDF and D0 have been presented for specific parameter values of a given model. A more model-independent approach is proposed and, by splitting the results of this analysis into channels based on (tau) content, the results of the analysis are generalized.