Finding the Third Proportional to 404,696 and 582,942

Step by Step Solution

1. Step 1: Write the proportion equation
   404,696 : 582,942 = 582,942 : x
2. Step 2: Convert to fraction form
   404,696/582,942 = 582,942/x
3. Step 3: Cross multiply
   404,696x = 582,942 × 582,942
4. Step 4: Simplify right side
   404,696x = 339,821,375,364
5. Step 5: Solve for x
   x = 339,821,375,364/404,696
6. Step 6: Final answer
   x = 839,695.41