Finding the Third Proportional to 105.47 and 160.59

Step by Step Solution

1. Step 1: Write the proportion equation
   105.47 : 160.59 = 160.59 : x
2. Step 2: Convert to fraction form
   105.47/160.59 = 160.59/x
3. Step 3: Cross multiply
   105.47x = 160.59 × 160.59
4. Step 4: Simplify right side
   105.47x = 25,790.35
5. Step 5: Solve for x
   x = 25,790.35/105.47
6. Step 6: Final answer
   x = 244.53