Finding the Third Proportional to 456,002 and 681,450

Step by Step Solution

1. Step 1: Write the proportion equation
   456,002 : 681,450 = 681,450 : x
2. Step 2: Convert to fraction form
   456,002/681,450 = 681,450/x
3. Step 3: Cross multiply
   456,002x = 681,450 × 681,450
4. Step 4: Simplify right side
   456,002x = 464,374,102,500
5. Step 5: Solve for x
   x = 464,374,102,500/456,002
6. Step 6: Final answer
   x = 1,018,359.79