Finding the Third Proportional to 166.50 and 245.25

Step by Step Solution

1. Step 1: Write the proportion equation
   166.50 : 245.25 = 245.25 : x
2. Step 2: Convert to fraction form
   166.50/245.25 = 245.25/x
3. Step 3: Cross multiply
   166.50x = 245.25 × 245.25
4. Step 4: Simplify right side
   166.50x = 60,147.56
5. Step 5: Solve for x
   x = 60,147.56/166.50
6. Step 6: Final answer
   x = 361.25