You put more pressure on those joist when you walk across the floor then the tank will put on them. You have to figure in the pounds per square inch. You will be fine with what you have. How do you think you can put a waterbed in an upstairs room? A waterbed is far more than 150 gallons. If you can't help but worry about it, and you shouldn't, bolt 2x6's to the existing joist, right up against the floor running with the existing boards. This will stiffen them considerably.
I have done tons of constuction, and trust me, if that floor won't hold the tank, your house should be condemned before someone falls through it walking through the room. I would worry far more about a tank flood running down on the pool table then the floor giving.