Finding the Third Proportional to 166.50 and 181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 181.50 = 181.50 : x
2. Step 2: Convert to fraction form
   166.50/181.50 = 181.50/x
3. Step 3: Cross multiply
   166.50x = 181.50 × 181.50
4. Step 4: Simplify right side
   166.50x = 32,942.25
5. Step 5: Solve for x
   x = 32,942.25/166.50
6. Step 6: Final answer
   x = 197.85