Finding the Third Proportional to 127.50 and 200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 200.25 = 200.25 : x
2. Step 2: Convert to fraction form
   127.50/200.25 = 200.25/x
3. Step 3: Cross multiply
   127.50x = 200.25 × 200.25
4. Step 4: Simplify right side
   127.50x = 40,100.06
5. Step 5: Solve for x
   x = 40,100.06/127.50
6. Step 6: Final answer
   x = 314.51