Finding the Third Proportional to 81,536 and 126,016

Step by Step Solution

1. Step 1: Write the proportion equation
   81,536 : 126,016 = 126,016 : x
2. Step 2: Convert to fraction form
   81,536/126,016 = 126,016/x
3. Step 3: Cross multiply
   81,536x = 126,016 × 126,016
4. Step 4: Simplify right side
   81,536x = 15,880,032,256
5. Step 5: Solve for x
   x = 15,880,032,256/81,536
6. Step 6: Final answer
   x = 194,760.99