Finding the Third Proportional to 359,728 and 527,928

Step by Step Solution

1. Step 1: Write the proportion equation
   359,728 : 527,928 = 527,928 : x
2. Step 2: Convert to fraction form
   359,728/527,928 = 527,928/x
3. Step 3: Cross multiply
   359,728x = 527,928 × 527,928
4. Step 4: Simplify right side
   359,728x = 278,707,973,184
5. Step 5: Solve for x
   x = 278,707,973,184/359,728
6. Step 6: Final answer
   x = 774,774.20