Finding the Third Proportional to 359,744 and 527,952

Step by Step Solution

1. Step 1: Write the proportion equation
   359,744 : 527,952 = 527,952 : x
2. Step 2: Convert to fraction form
   359,744/527,952 = 527,952/x
3. Step 3: Cross multiply
   359,744x = 527,952 × 527,952
4. Step 4: Simplify right side
   359,744x = 278,733,314,304
5. Step 5: Solve for x
   x = 278,733,314,304/359,744
6. Step 6: Final answer
   x = 774,810.18