Finding the Third Proportional to 127.50 and 191.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 191.25 = 191.25 : x
2. Step 2: Convert to fraction form
   127.50/191.25 = 191.25/x
3. Step 3: Cross multiply
   127.50x = 191.25 × 191.25
4. Step 4: Simplify right side
   127.50x = 36,576.56
5. Step 5: Solve for x
   x = 36,576.56/127.50
6. Step 6: Final answer
   x = 286.88