Finding the Third Proportional to 404,562 and 582,759

Step by Step Solution

1. Step 1: Write the proportion equation
   404,562 : 582,759 = 582,759 : x
2. Step 2: Convert to fraction form
   404,562/582,759 = 582,759/x
3. Step 3: Cross multiply
   404,562x = 582,759 × 582,759
4. Step 4: Simplify right side
   404,562x = 339,608,052,081
5. Step 5: Solve for x
   x = 339,608,052,081/404,562
6. Step 6: Final answer
   x = 839,446.25