We'd need some proper information about your team, their natures, movesets etc. to be able to actually help you.
Considering the fact you have an Infernape, I really don't see any reason you'll have any issues with Lucian's Bronzong - as Infernape's speed is -significantly- higher than Bronzong's. While Bronzong has some seriously powered defenses (also balanced ones), a few good, solid fire-type moves such as Flamethrower (if your Infernape is more of a special attacker) or Flare Blitz (if your Infernape is more of a physical attacker and doesn't mind taking some recoil damage) should wreak some massive damage on Bronzong (as Lucian's Bronzong has the Levitate ability rather than Heatproof - making its fire weakness devastating for it.)
Mind you, watch out for Infernape's HP as both its HP and Defenses are not the greatest and it DOES have a bit of psychic weakness there. If your Infernape's at level 70 as your signature state, it shouldn't have any particular issues dealing with Bronzong.