Finding the Third Proportional to 404,644 and 582,902

Step by Step Solution

1. Step 1: Write the proportion equation
   404,644 : 582,902 = 582,902 : x
2. Step 2: Convert to fraction form
   404,644/582,902 = 582,902/x
3. Step 3: Cross multiply
   404,644x = 582,902 × 582,902
4. Step 4: Simplify right side
   404,644x = 339,774,741,604
5. Step 5: Solve for x
   x = 339,774,741,604/404,644
6. Step 6: Final answer
   x = 839,688.08