Finding the Third Proportional to 185,376 and 404,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,376 : 404,731.50 = 404,731.50 : x
2. Step 2: Convert to fraction form
   185,376/404,731.50 = 404,731.50/x
3. Step 3: Cross multiply
   185,376x = 404,731.50 × 404,731.50
4. Step 4: Simplify right side
   185,376x = 163,807,587,092.25
5. Step 5: Solve for x
   x = 163,807,587,092.25/185,376
6. Step 6: Final answer
   x = 883,650.46