Finding the Third Proportional to 105,734 and 144,017

Step by Step Solution

1. Step 1: Write the proportion equation
   105,734 : 144,017 = 144,017 : x
2. Step 2: Convert to fraction form
   105,734/144,017 = 144,017/x
3. Step 3: Cross multiply
   105,734x = 144,017 × 144,017
4. Step 4: Simplify right side
   105,734x = 20,740,896,289
5. Step 5: Solve for x
   x = 20,740,896,289/105,734
6. Step 6: Final answer
   x = 196,161.09