Finding the Third Proportional to 123.13 and 182.33

Step by Step Solution

1. Step 1: Write the proportion equation
   123.13 : 182.33 = 182.33 : x
2. Step 2: Convert to fraction form
   123.13/182.33 = 182.33/x
3. Step 3: Cross multiply
   123.13x = 182.33 × 182.33
4. Step 4: Simplify right side
   123.13x = 33,243.90
5. Step 5: Solve for x
   x = 33,243.90/123.13
6. Step 6: Final answer
   x = 269.98