Finding the Third Proportional to 185,381 and 404,741

Step by Step Solution

1. Step 1: Write the proportion equation
   185,381 : 404,741 = 404,741 : x
2. Step 2: Convert to fraction form
   185,381/404,741 = 404,741/x
3. Step 3: Cross multiply
   185,381x = 404,741 × 404,741
4. Step 4: Simplify right side
   185,381x = 163,815,277,081
5. Step 5: Solve for x
   x = 163,815,277,081/185,381
6. Step 6: Final answer
   x = 883,668.11