Finding the Third Proportional to 127.38 and 259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 259.25 = 259.25 : x
2. Step 2: Convert to fraction form
   127.38/259.25 = 259.25/x
3. Step 3: Cross multiply
   127.38x = 259.25 × 259.25
4. Step 4: Simplify right side
   127.38x = 67,210.56
5. Step 5: Solve for x
   x = 67,210.56/127.38
6. Step 6: Final answer
   x = 527.66