Finding the Third Proportional to 274.55 and 600.52

Step by Step Solution

1. Step 1: Write the proportion equation
   274.55 : 600.52 = 600.52 : x
2. Step 2: Convert to fraction form
   274.55/600.52 = 600.52/x
3. Step 3: Cross multiply
   274.55x = 600.52 × 600.52
4. Step 4: Simplify right side
   274.55x = 360,619.02
5. Step 5: Solve for x
   x = 360,619.02/274.55
6. Step 6: Final answer
   x = 1,313.51