Finding the Third Proportional to 185,376 and 404,744

Step by Step Solution

1. Step 1: Write the proportion equation
   185,376 : 404,744 = 404,744 : x
2. Step 2: Convert to fraction form
   185,376/404,744 = 404,744/x
3. Step 3: Cross multiply
   185,376x = 404,744 × 404,744
4. Step 4: Simplify right side
   185,376x = 163,817,705,536
5. Step 5: Solve for x
   x = 163,817,705,536/185,376
6. Step 6: Final answer
   x = 883,705.04