Finding the Third Proportional to 126,768 and 196,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,768 : 196,024.50 = 196,024.50 : x
2. Step 2: Convert to fraction form
   126,768/196,024.50 = 196,024.50/x
3. Step 3: Cross multiply
   126,768x = 196,024.50 × 196,024.50
4. Step 4: Simplify right side
   126,768x = 38,425,604,600.25
5. Step 5: Solve for x
   x = 38,425,604,600.25/126,768
6. Step 6: Final answer
   x = 303,117.54