Finding the Third Proportional to 82,158 and 126,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,158 : 126,859.50 = 126,859.50 : x
2. Step 2: Convert to fraction form
   82,158/126,859.50 = 126,859.50/x
3. Step 3: Cross multiply
   82,158x = 126,859.50 × 126,859.50
4. Step 4: Simplify right side
   82,158x = 16,093,332,740.25
5. Step 5: Solve for x
   x = 16,093,332,740.25/82,158
6. Step 6: Final answer
   x = 195,882.72