Finding the Third Proportional to 127.25 and 291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.25 : 291.50 = 291.50 : x
2. Step 2: Convert to fraction form
   127.25/291.50 = 291.50/x
3. Step 3: Cross multiply
   127.25x = 291.50 × 291.50
4. Step 4: Simplify right side
   127.25x = 84,972.25
5. Step 5: Solve for x
   x = 84,972.25/127.25
6. Step 6: Final answer
   x = 667.76