Finding the Third Proportional to 404,559 and 582,750

Step by Step Solution

1. Step 1: Write the proportion equation
   404,559 : 582,750 = 582,750 : x
2. Step 2: Convert to fraction form
   404,559/582,750 = 582,750/x
3. Step 3: Cross multiply
   404,559x = 582,750 × 582,750
4. Step 4: Simplify right side
   404,559x = 339,597,562,500
5. Step 5: Solve for x
   x = 339,597,562,500/404,559
6. Step 6: Final answer
   x = 839,426.54