Polycarbonate is not that easy to cross-bond with most general adhesives, especially if it's hardcoated for scratch protection (which is common for protective glass so it can be cleaned without hazing as much).
Normally I would say a 2-part structural urethane would be a good starting point. You need something with some flexibility, because the Lexan and metal will expand at different rates with temperature, so something like an acrylic/methacrylate adhesive may have a lot of shear stress (and break the adhesive bond) depending on the size of the window. A single part urethane is not a great idea, because it can cause crazing on Lexan depending on the formulation (it may work, but it's a gamble). I haven't heard good things about single part urethane for Lexan windshields for example, and people often have to use screws to physically hold it in place. So if you're willing to drill some holes, a windshield urethane may work (or the screws by themselves may be fine without a sealant).
The 2-part structural urethanes would be something like Lord 7542 or 7545 (there are other brands with similar products, like 3M), and you'd also need to buy/borrow an adhesive cartridge dispenser and a mixing nozzle (probably $15 for the cartridge, plus $25 for the dispenser and nozzle). If it's bare metal, you may need a different product because there's obviously a huge different between bare metal and painted/powdercoated/primed metal.
Lord Fusor 127/128 or 147/148 might be a good choice as well, especially if you can find a local body shop that already uses it and may save you from buying extra stuff for application. It's a 2-part structural urethane as well, and seems to be rated for bare metal.
How big is that window? I'm having a hard time judging size from the picture.
Lexan = Polycarbonite. You need a polycarb adhesive (glue).
E.g.
Lexan Polycarbonate Glue
That's for bonding polycarbonate to itself.