Finding the Third Proportional to 100,016 and 236,096

Step by Step Solution

1. Step 1: Write the proportion equation
   100,016 : 236,096 = 236,096 : x
2. Step 2: Convert to fraction form
   100,016/236,096 = 236,096/x
3. Step 3: Cross multiply
   100,016x = 236,096 × 236,096
4. Step 4: Simplify right side
   100,016x = 55,741,321,216
5. Step 5: Solve for x
   x = 55,741,321,216/100,016
6. Step 6: Final answer
   x = 557,324.04