Finding the Third Proportional to 105.47 and 154.41

Step by Step Solution

1. Step 1: Write the proportion equation
   105.47 : 154.41 = 154.41 : x
2. Step 2: Convert to fraction form
   105.47/154.41 = 154.41/x
3. Step 3: Cross multiply
   105.47x = 154.41 × 154.41
4. Step 4: Simplify right side
   105.47x = 23,841.29
5. Step 5: Solve for x
   x = 23,841.29/105.47
6. Step 6: Final answer
   x = 226.05