Finding the Third Proportional to 127.50 and 187.13

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 187.13 = 187.13 : x
2. Step 2: Convert to fraction form
   127.50/187.13 = 187.13/x
3. Step 3: Cross multiply
   127.50x = 187.13 × 187.13
4. Step 4: Simplify right side
   127.50x = 35,015.77
5. Step 5: Solve for x
   x = 35,015.77/127.50
6. Step 6: Final answer
   x = 274.63