Finding the Third Proportional to 105,728 and 144,008

Step by Step Solution

1. Step 1: Write the proportion equation
   105,728 : 144,008 = 144,008 : x
2. Step 2: Convert to fraction form
   105,728/144,008 = 144,008/x
3. Step 3: Cross multiply
   105,728x = 144,008 × 144,008
4. Step 4: Simplify right side
   105,728x = 20,738,304,064
5. Step 5: Solve for x
   x = 20,738,304,064/105,728
6. Step 6: Final answer
   x = 196,147.70