Finding the Third Proportional to 281.81 and 442.27

Step by Step Solution

1. Step 1: Write the proportion equation
   281.81 : 442.27 = 442.27 : x
2. Step 2: Convert to fraction form
   281.81/442.27 = 442.27/x
3. Step 3: Cross multiply
   281.81x = 442.27 × 442.27
4. Step 4: Simplify right side
   281.81x = 195,598.88
5. Step 5: Solve for x
   x = 195,598.88/281.81
6. Step 6: Final answer
   x = 694.07