Finding the Third Proportional to 126,726 and 177,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   126,726 : 177,171.75 = 177,171.75 : x
2. Step 2: Convert to fraction form
   126,726/177,171.75 = 177,171.75/x
3. Step 3: Cross multiply
   126,726x = 177,171.75 × 177,171.75
4. Step 4: Simplify right side
   126,726x = 31,389,828,998.06
5. Step 5: Solve for x
   x = 31,389,828,998.06/126,726
6. Step 6: Final answer
   x = 247,698.41