Finding the Third Proportional to 82,867 and 126,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,867 : 126,708.50 = 126,708.50 : x
2. Step 2: Convert to fraction form
   82,867/126,708.50 = 126,708.50/x
3. Step 3: Cross multiply
   82,867x = 126,708.50 × 126,708.50
4. Step 4: Simplify right side
   82,867x = 16,055,043,972.25
5. Step 5: Solve for x
   x = 16,055,043,972.25/82,867
6. Step 6: Final answer
   x = 193,744.72