Finding the Third Proportional to 296,892 and 647,064

Step by Step Solution

1. Step 1: Write the proportion equation
   296,892 : 647,064 = 647,064 : x
2. Step 2: Convert to fraction form
   296,892/647,064 = 647,064/x
3. Step 3: Cross multiply
   296,892x = 647,064 × 647,064
4. Step 4: Simplify right side
   296,892x = 418,691,820,096
5. Step 5: Solve for x
   x = 418,691,820,096/296,892
6. Step 6: Final answer
   x = 1,410,249.59