Finding the Third Proportional to 127.50 and 197.72

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 197.72 = 197.72 : x
2. Step 2: Convert to fraction form
   127.50/197.72 = 197.72/x
3. Step 3: Cross multiply
   127.50x = 197.72 × 197.72
4. Step 4: Simplify right side
   127.50x = 39,092.70
5. Step 5: Solve for x
   x = 39,092.70/127.50
6. Step 6: Final answer
   x = 306.61