Finding the Third Proportional to 82,028 and 126,504

Step by Step Solution

1. Step 1: Write the proportion equation
   82,028 : 126,504 = 126,504 : x
2. Step 2: Convert to fraction form
   82,028/126,504 = 126,504/x
3. Step 3: Cross multiply
   82,028x = 126,504 × 126,504
4. Step 4: Simplify right side
   82,028x = 16,003,262,016
5. Step 5: Solve for x
   x = 16,003,262,016/82,028
6. Step 6: Final answer
   x = 195,095.11