Finding the Third Proportional to 582,657 and 787,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   582,657 : 787,219.50 = 787,219.50 : x
2. Step 2: Convert to fraction form
   582,657/787,219.50 = 787,219.50/x
3. Step 3: Cross multiply
   582,657x = 787,219.50 × 787,219.50
4. Step 4: Simplify right side
   582,657x = 619,714,541,180.25
5. Step 5: Solve for x
   x = 619,714,541,180.25/582,657
6. Step 6: Final answer
   x = 1,063,600.95