Finding the Third Proportional to 82,034 and 126,514

Step by Step Solution

1. Step 1: Write the proportion equation
   82,034 : 126,514 = 126,514 : x
2. Step 2: Convert to fraction form
   82,034/126,514 = 126,514/x
3. Step 3: Cross multiply
   82,034x = 126,514 × 126,514
4. Step 4: Simplify right side
   82,034x = 16,005,792,196
5. Step 5: Solve for x
   x = 16,005,792,196/82,034
6. Step 6: Final answer
   x = 195,111.69