Finding the Third Proportional to 208.69 and 339.56

Step by Step Solution

1. Step 1: Write the proportion equation
   208.69 : 339.56 = 339.56 : x
2. Step 2: Convert to fraction form
   208.69/339.56 = 339.56/x
3. Step 3: Cross multiply
   208.69x = 339.56 × 339.56
4. Step 4: Simplify right side
   208.69x = 115,302.69
5. Step 5: Solve for x
   x = 115,302.69/208.69
6. Step 6: Final answer
   x = 552.51