Finding the Third Proportional to 105,744 and 140,974

Step by Step Solution

1. Step 1: Write the proportion equation
   105,744 : 140,974 = 140,974 : x
2. Step 2: Convert to fraction form
   105,744/140,974 = 140,974/x
3. Step 3: Cross multiply
   105,744x = 140,974 × 140,974
4. Step 4: Simplify right side
   105,744x = 19,873,668,676
5. Step 5: Solve for x
   x = 19,873,668,676/105,744
6. Step 6: Final answer
   x = 187,941.34