Finding the Third Proportional to 121.50 and 223.31

Step by Step Solution

1. Step 1: Write the proportion equation
   121.50 : 223.31 = 223.31 : x
2. Step 2: Convert to fraction form
   121.50/223.31 = 223.31/x
3. Step 3: Cross multiply
   121.50x = 223.31 × 223.31
4. Step 4: Simplify right side
   121.50x = 49,868.47
5. Step 5: Solve for x
   x = 49,868.47/121.50
6. Step 6: Final answer
   x = 410.44