Finding the Third Proportional to 82,161 and 126,726

Step by Step Solution

1. Step 1: Write the proportion equation
   82,161 : 126,726 = 126,726 : x
2. Step 2: Convert to fraction form
   82,161/126,726 = 126,726/x
3. Step 3: Cross multiply
   82,161x = 126,726 × 126,726
4. Step 4: Simplify right side
   82,161x = 16,059,479,076
5. Step 5: Solve for x
   x = 16,059,479,076/82,161
6. Step 6: Final answer
   x = 195,463.53