Finding the Third Proportional to 101,728 and 152,016

Step by Step Solution

1. Step 1: Write the proportion equation
   101,728 : 152,016 = 152,016 : x
2. Step 2: Convert to fraction form
   101,728/152,016 = 152,016/x
3. Step 3: Cross multiply
   101,728x = 152,016 × 152,016
4. Step 4: Simplify right side
   101,728x = 23,108,864,256
5. Step 5: Solve for x
   x = 23,108,864,256/101,728
6. Step 6: Final answer
   x = 227,163.26