Finding the Third Proportional to 121.50 and 301.22

Step by Step Solution

1. Step 1: Write the proportion equation
   121.50 : 301.22 = 301.22 : x
2. Step 2: Convert to fraction form
   121.50/301.22 = 301.22/x
3. Step 3: Cross multiply
   121.50x = 301.22 × 301.22
4. Step 4: Simplify right side
   121.50x = 90,732.74
5. Step 5: Solve for x
   x = 90,732.74/121.50
6. Step 6: Final answer
   x = 746.77