Finding the Third Proportional to 199.69 and 260.72

Step by Step Solution

1. Step 1: Write the proportion equation
   199.69 : 260.72 = 260.72 : x
2. Step 2: Convert to fraction form
   199.69/260.72 = 260.72/x
3. Step 3: Cross multiply
   199.69x = 260.72 × 260.72
4. Step 4: Simplify right side
   199.69x = 67,974.27
5. Step 5: Solve for x
   x = 67,974.27/199.69
6. Step 6: Final answer
   x = 340.40