Finding the Third Proportional to 166.50 and 281.81

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 281.81 = 281.81 : x
2. Step 2: Convert to fraction form
   166.50/281.81 = 281.81/x
3. Step 3: Cross multiply
   166.50x = 281.81 × 281.81
4. Step 4: Simplify right side
   166.50x = 79,418.29
5. Step 5: Solve for x
   x = 79,418.29/166.50
6. Step 6: Final answer
   x = 476.99