Finding the Third Proportional to 124.45 and 166.43

Step by Step Solution

1. Step 1: Write the proportion equation
   124.45 : 166.43 = 166.43 : x
2. Step 2: Convert to fraction form
   124.45/166.43 = 166.43/x
3. Step 3: Cross multiply
   124.45x = 166.43 × 166.43
4. Step 4: Simplify right side
   124.45x = 27,698.84
5. Step 5: Solve for x
   x = 27,698.84/124.45
6. Step 6: Final answer
   x = 222.56