Finding the Third Proportional to 127.38 and 275.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 275.94 = 275.94 : x
2. Step 2: Convert to fraction form
   127.38/275.94 = 275.94/x
3. Step 3: Cross multiply
   127.38x = 275.94 × 275.94
4. Step 4: Simplify right side
   127.38x = 76,141.50
5. Step 5: Solve for x
   x = 76,141.50/127.38
6. Step 6: Final answer
   x = 597.77