Finding the Third Proportional to 109.25 and 160.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109.25 : 160.75 = 160.75 : x
2. Step 2: Convert to fraction form
   109.25/160.75 = 160.75/x
3. Step 3: Cross multiply
   109.25x = 160.75 × 160.75
4. Step 4: Simplify right side
   109.25x = 25,840.56
5. Step 5: Solve for x
   x = 25,840.56/109.25
6. Step 6: Final answer
   x = 236.53