Finding the Third Proportional to 298,892 and 647,578

Step by Step Solution

1. Step 1: Write the proportion equation
   298,892 : 647,578 = 647,578 : x
2. Step 2: Convert to fraction form
   298,892/647,578 = 647,578/x
3. Step 3: Cross multiply
   298,892x = 647,578 × 647,578
4. Step 4: Simplify right side
   298,892x = 419,357,266,084
5. Step 5: Solve for x
   x = 419,357,266,084/298,892
6. Step 6: Final answer
   x = 1,403,039.45