Finding the Third Proportional to 582,535 and 787,042

Step by Step Solution

1. Step 1: Write the proportion equation
   582,535 : 787,042 = 787,042 : x
2. Step 2: Convert to fraction form
   582,535/787,042 = 787,042/x
3. Step 3: Cross multiply
   582,535x = 787,042 × 787,042
4. Step 4: Simplify right side
   582,535x = 619,435,109,764
5. Step 5: Solve for x
   x = 619,435,109,764/582,535
6. Step 6: Final answer
   x = 1,063,344.02