Finding the Third Proportional to 105,740 and 144,026

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 144,026 = 144,026 : x
2. Step 2: Convert to fraction form
   105,740/144,026 = 144,026/x
3. Step 3: Cross multiply
   105,740x = 144,026 × 144,026
4. Step 4: Simplify right side
   105,740x = 20,743,488,676
5. Step 5: Solve for x
   x = 20,743,488,676/105,740
6. Step 6: Final answer
   x = 196,174.47