Finding the Third Proportional to 126,796.50 and 196,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   126,796.50 : 196,229.25 = 196,229.25 : x
2. Step 2: Convert to fraction form
   126,796.50/196,229.25 = 196,229.25/x
3. Step 3: Cross multiply
   126,796.50x = 196,229.25 × 196,229.25
4. Step 4: Simplify right side
   126,796.50x = 38,505,918,555.56
5. Step 5: Solve for x
   x = 38,505,918,555.56/126,796.50
6. Step 6: Final answer
   x = 303,682.82