Finding the Third Proportional to 105,744 and 154,395

Step by Step Solution

1. Step 1: Write the proportion equation
   105,744 : 154,395 = 154,395 : x
2. Step 2: Convert to fraction form
   105,744/154,395 = 154,395/x
3. Step 3: Cross multiply
   105,744x = 154,395 × 154,395
4. Step 4: Simplify right side
   105,744x = 23,837,816,025
5. Step 5: Solve for x
   x = 23,837,816,025/105,744
6. Step 6: Final answer
   x = 225,429.49