Finding the Third Proportional to 86,016 and 126,494

Step by Step Solution

1. Step 1: Write the proportion equation
   86,016 : 126,494 = 126,494 : x
2. Step 2: Convert to fraction form
   86,016/126,494 = 126,494/x
3. Step 3: Cross multiply
   86,016x = 126,494 × 126,494
4. Step 4: Simplify right side
   86,016x = 16,000,732,036
5. Step 5: Solve for x
   x = 16,000,732,036/86,016
6. Step 6: Final answer
   x = 186,020.42