Finding the Third Proportional to 140.44 and 254.72

Step by Step Solution

1. Step 1: Write the proportion equation
   140.44 : 254.72 = 254.72 : x
2. Step 2: Convert to fraction form
   140.44/254.72 = 254.72/x
3. Step 3: Cross multiply
   140.44x = 254.72 × 254.72
4. Step 4: Simplify right side
   140.44x = 64,881.64
5. Step 5: Solve for x
   x = 64,881.64/140.44
6. Step 6: Final answer
   x = 462.00