Finding the Third Proportional to 269,797.50 and 582,822

Step by Step Solution

1. Step 1: Write the proportion equation
   269,797.50 : 582,822 = 582,822 : x
2. Step 2: Convert to fraction form
   269,797.50/582,822 = 582,822/x
3. Step 3: Cross multiply
   269,797.50x = 582,822 × 582,822
4. Step 4: Simplify right side
   269,797.50x = 339,681,483,684
5. Step 5: Solve for x
   x = 339,681,483,684/269,797.50
6. Step 6: Final answer
   x = 1,259,023.84