Finding the Third Proportional to 120.09 and 183.59

Step by Step Solution

1. Step 1: Write the proportion equation
   120.09 : 183.59 = 183.59 : x
2. Step 2: Convert to fraction form
   120.09/183.59 = 183.59/x
3. Step 3: Cross multiply
   120.09x = 183.59 × 183.59
4. Step 4: Simplify right side
   120.09x = 33,703.80
5. Step 5: Solve for x
   x = 33,703.80/120.09
6. Step 6: Final answer
   x = 280.65