Finding the Third Proportional to 314,892 and 492,552

Step by Step Solution

1. Step 1: Write the proportion equation
   314,892 : 492,552 = 492,552 : x
2. Step 2: Convert to fraction form
   314,892/492,552 = 492,552/x
3. Step 3: Cross multiply
   314,892x = 492,552 × 492,552
4. Step 4: Simplify right side
   314,892x = 242,607,472,704
5. Step 5: Solve for x
   x = 242,607,472,704/314,892
6. Step 6: Final answer
   x = 770,446.61