Finding the Third Proportional to 404,580 and 582,762

Step by Step Solution

1. Step 1: Write the proportion equation
   404,580 : 582,762 = 582,762 : x
2. Step 2: Convert to fraction form
   404,580/582,762 = 582,762/x
3. Step 3: Cross multiply
   404,580x = 582,762 × 582,762
4. Step 4: Simplify right side
   404,580x = 339,611,548,644
5. Step 5: Solve for x
   x = 339,611,548,644/404,580
6. Step 6: Final answer
   x = 839,417.54