Finding the Third Proportional to 101,049 and 158,055

Step by Step Solution

1. Step 1: Write the proportion equation
   101,049 : 158,055 = 158,055 : x
2. Step 2: Convert to fraction form
   101,049/158,055 = 158,055/x
3. Step 3: Cross multiply
   101,049x = 158,055 × 158,055
4. Step 4: Simplify right side
   101,049x = 24,981,383,025
5. Step 5: Solve for x
   x = 24,981,383,025/101,049
6. Step 6: Final answer
   x = 247,220.49