Finding the Third Proportional to 126,766 and 194,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,766 : 194,864.50 = 194,864.50 : x
2. Step 2: Convert to fraction form
   126,766/194,864.50 = 194,864.50/x
3. Step 3: Cross multiply
   126,766x = 194,864.50 × 194,864.50
4. Step 4: Simplify right side
   126,766x = 37,972,173,360.25
5. Step 5: Solve for x
   x = 37,972,173,360.25/126,766
6. Step 6: Final answer
   x = 299,545.41