Finding the Third Proportional to 185,540 and 404,200

Step by Step Solution

1. Step 1: Write the proportion equation
   185,540 : 404,200 = 404,200 : x
2. Step 2: Convert to fraction form
   185,540/404,200 = 404,200/x
3. Step 3: Cross multiply
   185,540x = 404,200 × 404,200
4. Step 4: Simplify right side
   185,540x = 163,377,640,000
5. Step 5: Solve for x
   x = 163,377,640,000/185,540
6. Step 6: Final answer
   x = 880,552.12