Finding the Third Proportional to 138,666 and 205,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,666 : 205,960.50 = 205,960.50 : x
2. Step 2: Convert to fraction form
   138,666/205,960.50 = 205,960.50/x
3. Step 3: Cross multiply
   138,666x = 205,960.50 × 205,960.50
4. Step 4: Simplify right side
   138,666x = 42,419,727,560.25
5. Step 5: Solve for x
   x = 42,419,727,560.25/138,666
6. Step 6: Final answer
   x = 305,912.97