Finding the Third Proportional to 359,719 and 527,914

Step by Step Solution

1. Step 1: Write the proportion equation
   359,719 : 527,914 = 527,914 : x
2. Step 2: Convert to fraction form
   359,719/527,914 = 527,914/x
3. Step 3: Cross multiply
   359,719x = 527,914 × 527,914
4. Step 4: Simplify right side
   359,719x = 278,693,191,396
5. Step 5: Solve for x
   x = 278,693,191,396/359,719
6. Step 6: Final answer
   x = 774,752.49