Finding the Third Proportional to 332,912 and 521,680

Step by Step Solution

1. Step 1: Write the proportion equation
   332,912 : 521,680 = 521,680 : x
2. Step 2: Convert to fraction form
   332,912/521,680 = 521,680/x
3. Step 3: Cross multiply
   332,912x = 521,680 × 521,680
4. Step 4: Simplify right side
   332,912x = 272,150,022,400
5. Step 5: Solve for x
   x = 272,150,022,400/332,912
6. Step 6: Final answer
   x = 817,483.37