Finding the Third Proportional to 136.69 and 182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   136.69 : 182.25 = 182.25 : x
2. Step 2: Convert to fraction form
   136.69/182.25 = 182.25/x
3. Step 3: Cross multiply
   136.69x = 182.25 × 182.25
4. Step 4: Simplify right side
   136.69x = 33,215.06
5. Step 5: Solve for x
   x = 33,215.06/136.69
6. Step 6: Final answer
   x = 243