Finding the Third Proportional to 127.69 and 275.63

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 275.63 = 275.63 : x
2. Step 2: Convert to fraction form
   127.69/275.63 = 275.63/x
3. Step 3: Cross multiply
   127.69x = 275.63 × 275.63
4. Step 4: Simplify right side
   127.69x = 75,969.14
5. Step 5: Solve for x
   x = 75,969.14/127.69
6. Step 6: Final answer
   x = 594.96