Finding the Third Proportional to 410,874 and 617,280

Step by Step Solution

1. Step 1: Write the proportion equation
   410,874 : 617,280 = 617,280 : x
2. Step 2: Convert to fraction form
   410,874/617,280 = 617,280/x
3. Step 3: Cross multiply
   410,874x = 617,280 × 617,280
4. Step 4: Simplify right side
   410,874x = 381,034,598,400
5. Step 5: Solve for x
   x = 381,034,598,400/410,874
6. Step 6: Final answer
   x = 927,375.79