Finding the Third Proportional to 127.50 and 185.63

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 185.63 = 185.63 : x
2. Step 2: Convert to fraction form
   127.50/185.63 = 185.63/x
3. Step 3: Cross multiply
   127.50x = 185.63 × 185.63
4. Step 4: Simplify right side
   127.50x = 34,456.64
5. Step 5: Solve for x
   x = 34,456.64/127.50
6. Step 6: Final answer
   x = 270.25