Finding the Third Proportional to 404,865 and 576,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,865 : 576,733.50 = 576,733.50 : x
2. Step 2: Convert to fraction form
   404,865/576,733.50 = 576,733.50/x
3. Step 3: Cross multiply
   404,865x = 576,733.50 × 576,733.50
4. Step 4: Simplify right side
   404,865x = 332,621,530,022.25
5. Step 5: Solve for x
   x = 332,621,530,022.25/404,865
6. Step 6: Final answer
   x = 821,561.58