Finding the Third Proportional to 404,565 and 582,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,565 : 582,763.50 = 582,763.50 : x
2. Step 2: Convert to fraction form
   404,565/582,763.50 = 582,763.50/x
3. Step 3: Cross multiply
   404,565x = 582,763.50 × 582,763.50
4. Step 4: Simplify right side
   404,565x = 339,613,296,932.25
5. Step 5: Solve for x
   x = 339,613,296,932.25/404,565
6. Step 6: Final answer
   x = 839,452.99