Finding the Third Proportional to 90,540 and 199,128

Step by Step Solution

1. Step 1: Write the proportion equation
   90,540 : 199,128 = 199,128 : x
2. Step 2: Convert to fraction form
   90,540/199,128 = 199,128/x
3. Step 3: Cross multiply
   90,540x = 199,128 × 199,128
4. Step 4: Simplify right side
   90,540x = 39,651,960,384
5. Step 5: Solve for x
   x = 39,651,960,384/90,540
6. Step 6: Final answer
   x = 437,949.64