Finding the Third Proportional to 275.69 and 512.38

Step by Step Solution

1. Step 1: Write the proportion equation
   275.69 : 512.38 = 512.38 : x
2. Step 2: Convert to fraction form
   275.69/512.38 = 512.38/x
3. Step 3: Cross multiply
   275.69x = 512.38 × 512.38
4. Step 4: Simplify right side
   275.69x = 262,528.14
5. Step 5: Solve for x
   x = 262,528.14/275.69
6. Step 6: Final answer
   x = 952.27