Finding the Third Proportional to 82,022 and 126,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,022 : 126,667.75 = 126,667.75 : x
2. Step 2: Convert to fraction form
   82,022/126,667.75 = 126,667.75/x
3. Step 3: Cross multiply
   82,022x = 126,667.75 × 126,667.75
4. Step 4: Simplify right side
   82,022x = 16,044,718,890.06
5. Step 5: Solve for x
   x = 16,044,718,890.06/82,022
6. Step 6: Final answer
   x = 195,614.82