Finding the Third Proportional to 123.75 and 160.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 160.75 = 160.75 : x
2. Step 2: Convert to fraction form
   123.75/160.75 = 160.75/x
3. Step 3: Cross multiply
   123.75x = 160.75 × 160.75
4. Step 4: Simplify right side
   123.75x = 25,840.56
5. Step 5: Solve for x
   x = 25,840.56/123.75
6. Step 6: Final answer
   x = 208.81