Finding the Third Proportional to 105,744 and 155,694

Step by Step Solution

1. Step 1: Write the proportion equation
   105,744 : 155,694 = 155,694 : x
2. Step 2: Convert to fraction form
   105,744/155,694 = 155,694/x
3. Step 3: Cross multiply
   105,744x = 155,694 × 155,694
4. Step 4: Simplify right side
   105,744x = 24,240,621,636
5. Step 5: Solve for x
   x = 24,240,621,636/105,744
6. Step 6: Final answer
   x = 229,238.74