Finding the Third Proportional to 269,802 and 582,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,802 : 582,826.50 = 582,826.50 : x
2. Step 2: Convert to fraction form
   269,802/582,826.50 = 582,826.50/x
3. Step 3: Cross multiply
   269,802x = 582,826.50 × 582,826.50
4. Step 4: Simplify right side
   269,802x = 339,686,729,102.25
5. Step 5: Solve for x
   x = 339,686,729,102.25/269,802
6. Step 6: Final answer
   x = 1,259,022.28