Finding the Third Proportional to 456,002 and 681,448

Step by Step Solution

1. Step 1: Write the proportion equation
   456,002 : 681,448 = 681,448 : x
2. Step 2: Convert to fraction form
   456,002/681,448 = 681,448/x
3. Step 3: Cross multiply
   456,002x = 681,448 × 681,448
4. Step 4: Simplify right side
   456,002x = 464,371,376,704
5. Step 5: Solve for x
   x = 464,371,376,704/456,002
6. Step 6: Final answer
   x = 1,018,353.82