Finding the Third Proportional to 127.50 and 168.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 168.56 = 168.56 : x
2. Step 2: Convert to fraction form
   127.50/168.56 = 168.56/x
3. Step 3: Cross multiply
   127.50x = 168.56 × 168.56
4. Step 4: Simplify right side
   127.50x = 28,413.32
5. Step 5: Solve for x
   x = 28,413.32/127.50
6. Step 6: Final answer
   x = 222.85