Finding the Third Proportional to 127.50 and 274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 274.50 = 274.50 : x
2. Step 2: Convert to fraction form
   127.50/274.50 = 274.50/x
3. Step 3: Cross multiply
   127.50x = 274.50 × 274.50
4. Step 4: Simplify right side
   127.50x = 75,350.25
5. Step 5: Solve for x
   x = 75,350.25/127.50
6. Step 6: Final answer
   x = 590.98