Finding the Third Proportional to 166.50 and 241.31

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 241.31 = 241.31 : x
2. Step 2: Convert to fraction form
   166.50/241.31 = 241.31/x
3. Step 3: Cross multiply
   166.50x = 241.31 × 241.31
4. Step 4: Simplify right side
   166.50x = 58,231.72
5. Step 5: Solve for x
   x = 58,231.72/166.50
6. Step 6: Final answer
   x = 349.74