Finding the Third Proportional to 127.50 and 290.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 290.75 = 290.75 : x
2. Step 2: Convert to fraction form
   127.50/290.75 = 290.75/x
3. Step 3: Cross multiply
   127.50x = 290.75 × 290.75
4. Step 4: Simplify right side
   127.50x = 84,535.56
5. Step 5: Solve for x
   x = 84,535.56/127.50
6. Step 6: Final answer
   x = 663.02