Finding the Third Proportional to 138,658.50 and 198,144

Step by Step Solution

1. Step 1: Write the proportion equation
   138,658.50 : 198,144 = 198,144 : x
2. Step 2: Convert to fraction form
   138,658.50/198,144 = 198,144/x
3. Step 3: Cross multiply
   138,658.50x = 198,144 × 198,144
4. Step 4: Simplify right side
   138,658.50x = 39,261,044,736
5. Step 5: Solve for x
   x = 39,261,044,736/138,658.50
6. Step 6: Final answer
   x = 283,149.21