Finding the Third Proportional to 196.75 and 259.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 259.38 = 259.38 : x
2. Step 2: Convert to fraction form
   196.75/259.38 = 259.38/x
3. Step 3: Cross multiply
   196.75x = 259.38 × 259.38
4. Step 4: Simplify right side
   196.75x = 67,275.39
5. Step 5: Solve for x
   x = 67,275.39/196.75
6. Step 6: Final answer
   x = 341.93