Finding the Third Proportional to 404,004 and 598,197

Step by Step Solution

1. Step 1: Write the proportion equation
   404,004 : 598,197 = 598,197 : x
2. Step 2: Convert to fraction form
   404,004/598,197 = 598,197/x
3. Step 3: Cross multiply
   404,004x = 598,197 × 598,197
4. Step 4: Simplify right side
   404,004x = 357,839,650,809
5. Step 5: Solve for x
   x = 357,839,650,809/404,004
6. Step 6: Final answer
   x = 885,732.94