Finding the Third Proportional to 123.19 and 169.59

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 169.59 = 169.59 : x
2. Step 2: Convert to fraction form
   123.19/169.59 = 169.59/x
3. Step 3: Cross multiply
   123.19x = 169.59 × 169.59
4. Step 4: Simplify right side
   123.19x = 28,762.04
5. Step 5: Solve for x
   x = 28,762.04/123.19
6. Step 6: Final answer
   x = 233.48