Finding the Third Proportional to 121.22 and 224.72

Step by Step Solution

1. Step 1: Write the proportion equation
   121.22 : 224.72 = 224.72 : x
2. Step 2: Convert to fraction form
   121.22/224.72 = 224.72/x
3. Step 3: Cross multiply
   121.22x = 224.72 × 224.72
4. Step 4: Simplify right side
   121.22x = 50,498.52
5. Step 5: Solve for x
   x = 50,498.52/121.22
6. Step 6: Final answer
   x = 416.59