Finding the Third Proportional to 280,762 and 614,012

Step by Step Solution

1. Step 1: Write the proportion equation
   280,762 : 614,012 = 614,012 : x
2. Step 2: Convert to fraction form
   280,762/614,012 = 614,012/x
3. Step 3: Cross multiply
   280,762x = 614,012 × 614,012
4. Step 4: Simplify right side
   280,762x = 377,010,736,144
5. Step 5: Solve for x
   x = 377,010,736,144/280,762
6. Step 6: Final answer
   x = 1,342,812.55