Finding the Third Proportional to 274.50 and 447.25

Step by Step Solution

1. Step 1: Write the proportion equation
   274.50 : 447.25 = 447.25 : x
2. Step 2: Convert to fraction form
   274.50/447.25 = 447.25/x
3. Step 3: Cross multiply
   274.50x = 447.25 × 447.25
4. Step 4: Simplify right side
   274.50x = 200,032.56
5. Step 5: Solve for x
   x = 200,032.56/274.50
6. Step 6: Final answer
   x = 728.72