Finding the Third Proportional to 332,920 and 521,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   332,920 : 521,695.50 = 521,695.50 : x
2. Step 2: Convert to fraction form
   332,920/521,695.50 = 521,695.50/x
3. Step 3: Cross multiply
   332,920x = 521,695.50 × 521,695.50
4. Step 4: Simplify right side
   332,920x = 272,166,194,720.25
5. Step 5: Solve for x
   x = 272,166,194,720.25/332,920
6. Step 6: Final answer
   x = 817,512.30