Finding the Third Proportional to 269,793.50 and 582,814

Step by Step Solution

1. Step 1: Write the proportion equation
   269,793.50 : 582,814 = 582,814 : x
2. Step 2: Convert to fraction form
   269,793.50/582,814 = 582,814/x
3. Step 3: Cross multiply
   269,793.50x = 582,814 × 582,814
4. Step 4: Simplify right side
   269,793.50x = 339,672,158,596
5. Step 5: Solve for x
   x = 339,672,158,596/269,793.50
6. Step 6: Final answer
   x = 1,259,007.94