Finding the Third Proportional to 185,306 and 404,598

Step by Step Solution

1. Step 1: Write the proportion equation
   185,306 : 404,598 = 404,598 : x
2. Step 2: Convert to fraction form
   185,306/404,598 = 404,598/x
3. Step 3: Cross multiply
   185,306x = 404,598 × 404,598
4. Step 4: Simplify right side
   185,306x = 163,699,541,604
5. Step 5: Solve for x
   x = 163,699,541,604/185,306
6. Step 6: Final answer
   x = 883,401.19