For a 125G tank with a 3-400 budget you are looking at Black Box LEDS from Amazon/Ebay...
ViparSpectra, Mars Aqua,etc...
Search 165W (~$80-150,each) Reef LED or 300W (~$200 each) reef led on those sites and you shall find them..
Assuming a 48" long tank 2 of the 165W would be fine.. 1 of the 300W could be ok but the 2 would be better with the dimensions you have