Finding the Third Proportional to 404,002 and 598,194

Step by Step Solution

1. Step 1: Write the proportion equation
   404,002 : 598,194 = 598,194 : x
2. Step 2: Convert to fraction form
   404,002/598,194 = 598,194/x
3. Step 3: Cross multiply
   404,002x = 598,194 × 598,194
4. Step 4: Simplify right side
   404,002x = 357,836,061,636
5. Step 5: Solve for x
   x = 357,836,061,636/404,002
6. Step 6: Final answer
   x = 885,728.44