Finding the Third Proportional to 280,764 and 614,016

Step by Step Solution

1. Step 1: Write the proportion equation
   280,764 : 614,016 = 614,016 : x
2. Step 2: Convert to fraction form
   280,764/614,016 = 614,016/x
3. Step 3: Cross multiply
   280,764x = 614,016 × 614,016
4. Step 4: Simplify right side
   280,764x = 377,015,648,256
5. Step 5: Solve for x
   x = 377,015,648,256/280,764
6. Step 6: Final answer
   x = 1,342,820.48