Finding the Third Proportional to 166.55 and 319.27

Step by Step Solution

1. Step 1: Write the proportion equation
   166.55 : 319.27 = 319.27 : x
2. Step 2: Convert to fraction form
   166.55/319.27 = 319.27/x
3. Step 3: Cross multiply
   166.55x = 319.27 × 319.27
4. Step 4: Simplify right side
   166.55x = 101,930.54
5. Step 5: Solve for x
   x = 101,930.54/166.55
6. Step 6: Final answer
   x = 612.02