Finding the Third Proportional to 185,382 and 404,743

Step by Step Solution

1. Step 1: Write the proportion equation
   185,382 : 404,743 = 404,743 : x
2. Step 2: Convert to fraction form
   185,382/404,743 = 404,743/x
3. Step 3: Cross multiply
   185,382x = 404,743 × 404,743
4. Step 4: Simplify right side
   185,382x = 163,816,896,049
5. Step 5: Solve for x
   x = 163,816,896,049/185,382
6. Step 6: Final answer
   x = 883,672.07