Finding the Third Proportional to 138,501 and 198,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,501 : 198,049.50 = 198,049.50 : x
2. Step 2: Convert to fraction form
   138,501/198,049.50 = 198,049.50/x
3. Step 3: Cross multiply
   138,501x = 198,049.50 × 198,049.50
4. Step 4: Simplify right side
   138,501x = 39,223,604,450.25
5. Step 5: Solve for x
   x = 39,223,604,450.25/138,501
6. Step 6: Final answer
   x = 283,200.88