Finding the Third Proportional to 359,716 and 527,910

Step by Step Solution

1. Step 1: Write the proportion equation
   359,716 : 527,910 = 527,910 : x
2. Step 2: Convert to fraction form
   359,716/527,910 = 527,910/x
3. Step 3: Cross multiply
   359,716x = 527,910 × 527,910
4. Step 4: Simplify right side
   359,716x = 278,688,968,100
5. Step 5: Solve for x
   x = 278,688,968,100/359,716
6. Step 6: Final answer
   x = 774,747.21