Finding the Third Proportional to 118.69 and 208.69

Step by Step Solution

1. Step 1: Write the proportion equation
   118.69 : 208.69 = 208.69 : x
2. Step 2: Convert to fraction form
   118.69/208.69 = 208.69/x
3. Step 3: Cross multiply
   118.69x = 208.69 × 208.69
4. Step 4: Simplify right side
   118.69x = 43,550.47
5. Step 5: Solve for x
   x = 43,550.47/118.69
6. Step 6: Final answer
   x = 366.93