Finding the Third Proportional to 127.41 and 274.78

Step by Step Solution

1. Step 1: Write the proportion equation
   127.41 : 274.78 = 274.78 : x
2. Step 2: Convert to fraction form
   127.41/274.78 = 274.78/x
3. Step 3: Cross multiply
   127.41x = 274.78 × 274.78
4. Step 4: Simplify right side
   127.41x = 75,504.74
5. Step 5: Solve for x
   x = 75,504.74/127.41
6. Step 6: Final answer
   x = 592.63