Finding the Third Proportional to 105.94 and 154.31

Step by Step Solution

1. Step 1: Write the proportion equation
   105.94 : 154.31 = 154.31 : x
2. Step 2: Convert to fraction form
   105.94/154.31 = 154.31/x
3. Step 3: Cross multiply
   105.94x = 154.31 × 154.31
4. Step 4: Simplify right side
   105.94x = 23,812.35
5. Step 5: Solve for x
   x = 23,812.35/105.94
6. Step 6: Final answer
   x = 224.78