Finding the Third Proportional to 280,757 and 614,002

Step by Step Solution

1. Step 1: Write the proportion equation
   280,757 : 614,002 = 614,002 : x
2. Step 2: Convert to fraction form
   280,757/614,002 = 614,002/x
3. Step 3: Cross multiply
   280,757x = 614,002 × 614,002
4. Step 4: Simplify right side
   280,757x = 376,998,456,004
5. Step 5: Solve for x
   x = 376,998,456,004/280,757
6. Step 6: Final answer
   x = 1,342,792.72