Be careful - you don't add anything TO 500 ml of water. 46% w/v means 46g KOH per 100 ml of total solution. (Your "total solution of 500 ml of water" is seriously ambiguous.) If you add the required mass to 500 ml water, you will have more than 500 ml of less than 46% solution. You add the solid to a lesser amount of water, then add water to make the total volume up to 500 ml.
This is where your solid density may come in useful. Your required mass of KOH (have you worked it out yet?) would occupy ca. 130 ml. So assuming, to a first approximation, no volume change on mixing, you would need ca. 370 ml water. I would try dissolving your KOH in ca. 300 ml water, then when it is dissolved (add a little more water if necessary), add more water in small portions with good mixing until the volume is 500 ml.