Finding the Third Proportional to 185,376 and 404,736

Step by Step Solution

1. Step 1: Write the proportion equation
   185,376 : 404,736 = 404,736 : x
2. Step 2: Convert to fraction form
   185,376/404,736 = 404,736/x
3. Step 3: Cross multiply
   185,376x = 404,736 × 404,736
4. Step 4: Simplify right side
   185,376x = 163,811,229,696
5. Step 5: Solve for x
   x = 163,811,229,696/185,376
6. Step 6: Final answer
   x = 883,670.11