Finding the Third Proportional to 127.31 and 274.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127.31 : 274.69 = 274.69 : x
2. Step 2: Convert to fraction form
   127.31/274.69 = 274.69/x
3. Step 3: Cross multiply
   127.31x = 274.69 × 274.69
4. Step 4: Simplify right side
   127.31x = 75,453.22
5. Step 5: Solve for x
   x = 75,453.22/127.31
6. Step 6: Final answer
   x = 592.66