You don't need to burn all 1903 calories through exercise. That screenshot you attached doesn't make it clear that the majority of calories you burn every day are from your body's essential processes keeping you alive, and you'd burn that energy even if you sat around and did nothing. So you don't need to exercise so much to burn 1903, as your body is always burning energy all day, even when you're sleeping.
To explain that a bit more, the energy your body burns on essential processes is called your basal metabolic rate. That might be 1700 calories or so, although it varies for every individual. Since most people do actually move during the day, this energy from movement gets added to the basal metabolic rate. So if your movement during the day requires 203 calories, your total daily energy expenditure is 1903. If you eat more calories than your total daily energy expenditure, your weight goes up. If you eat less than that, your weight goes down.
That 240 surplus sounds sensible and you'll avoid excessive fat gain.