Finding the Third Proportional to 123.75 and 143.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123.75 : 143.25 = 143.25 : x
2. Step 2: Convert to fraction form
   123.75/143.25 = 143.25/x
3. Step 3: Cross multiply
   123.75x = 143.25 × 143.25
4. Step 4: Simplify right side
   123.75x = 20,520.56
5. Step 5: Solve for x
   x = 20,520.56/123.75
6. Step 6: Final answer
   x = 165.82