Finding the Third Proportional to 121.50 and 169.59

Step by Step Solution

1. Step 1: Write the proportion equation
   121.50 : 169.59 = 169.59 : x
2. Step 2: Convert to fraction form
   121.50/169.59 = 169.59/x
3. Step 3: Cross multiply
   121.50x = 169.59 × 169.59
4. Step 4: Simplify right side
   121.50x = 28,762.04
5. Step 5: Solve for x
   x = 28,762.04/121.50
6. Step 6: Final answer
   x = 236.72