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We report the discovery and validation of two long-period giant exoplanetsorbiting the early K dwarf TOI-4600 (V=12.6, T=11.9), first detected usingobservations from the Transiting Exoplanet Survey Satellite (TESS) by the TESSSingle Transit Planet Candidate Working Group (TSTPC-WG). The inner planet,TOI-4600 b, has a radius of 6.80$\pm$0.31 R$_{\oplus}$ and an orbital period of82.69 d. The outer planet, TOI-4600 c, has a radius of 9.42$\pm$0.42R$_{\oplus}$ and an orbital period of 482.82 d, making it the longest-periodconfirmed or validated planet discovered by TESS to date. We combine TESSphotometry and ground-based spectroscopy, photometry, and high-resolutionimaging to validate the two planets. With equilibrium temperatures of 347 K and191 K, respectively, TOI-4600 b and c add to the small but growing populationof temperate giant exoplanets that bridge the gap between hot/warm Jupiters andthe solar system's gas giants. TOI-4600 is a promising target for furthertransit and precise RV observations to measure masses and orbits for theplanets as well as search for additional non-transiting planets. Additionally,with Transit Spectroscopy Metric (TSM) values of $\sim$30, both planets areamenable for atmospheric characterization with JWST. Altogether will lendinsight into the formation and evolution of planet systems with multiple giantexoplanets.

TOI-4600 b and c: Two long-period giant planets orbiting an early K dwarf