Finding the Third Proportional to 138,666 and 198,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,666 : 198,154.50 = 198,154.50 : x
2. Step 2: Convert to fraction form
   138,666/198,154.50 = 198,154.50/x
3. Step 3: Cross multiply
   138,666x = 198,154.50 × 198,154.50
4. Step 4: Simplify right side
   138,666x = 39,265,205,870.25
5. Step 5: Solve for x
   x = 39,265,205,870.25/138,666
6. Step 6: Final answer
   x = 283,163.90