Finding the Third Proportional to 299.53 and 440.72

Step by Step Solution

1. Step 1: Write the proportion equation
   299.53 : 440.72 = 440.72 : x
2. Step 2: Convert to fraction form
   299.53/440.72 = 440.72/x
3. Step 3: Cross multiply
   299.53x = 440.72 × 440.72
4. Step 4: Simplify right side
   299.53x = 194,233.02
5. Step 5: Solve for x
   x = 194,233.02/299.53
6. Step 6: Final answer
   x = 648.46