Finding the Third Proportional to 138,892 and 196,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,892 : 196,660.50 = 196,660.50 : x
2. Step 2: Convert to fraction form
   138,892/196,660.50 = 196,660.50/x
3. Step 3: Cross multiply
   138,892x = 196,660.50 × 196,660.50
4. Step 4: Simplify right side
   138,892x = 38,675,352,260.25
5. Step 5: Solve for x
   x = 38,675,352,260.25/138,892
6. Step 6: Final answer
   x = 278,456.30