Finding the Third Proportional to 206.81 and 340.59

Step by Step Solution

1. Step 1: Write the proportion equation
   206.81 : 340.59 = 340.59 : x
2. Step 2: Convert to fraction form
   206.81/340.59 = 340.59/x
3. Step 3: Cross multiply
   206.81x = 340.59 × 340.59
4. Step 4: Simplify right side
   206.81x = 116,004.10
5. Step 5: Solve for x
   x = 116,004.10/206.81
6. Step 6: Final answer
   x = 560.91