Finding the Third Proportional to 82,197 and 126,758.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,197 : 126,758.25 = 126,758.25 : x
2. Step 2: Convert to fraction form
   82,197/126,758.25 = 126,758.25/x
3. Step 3: Cross multiply
   82,197x = 126,758.25 × 126,758.25
4. Step 4: Simplify right side
   82,197x = 16,067,653,943.06
5. Step 5: Solve for x
   x = 16,067,653,943.06/82,197
6. Step 6: Final answer
   x = 195,477.38