Finding the Third Proportional to 359,730 and 527,931

Step by Step Solution

1. Step 1: Write the proportion equation
   359,730 : 527,931 = 527,931 : x
2. Step 2: Convert to fraction form
   359,730/527,931 = 527,931/x
3. Step 3: Cross multiply
   359,730x = 527,931 × 527,931
4. Step 4: Simplify right side
   359,730x = 278,711,140,761
5. Step 5: Solve for x
   x = 278,711,140,761/359,730
6. Step 6: Final answer
   x = 774,778.70