Finding the Third Proportional to 196.78 and 291.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.78 : 291.38 = 291.38 : x
2. Step 2: Convert to fraction form
   196.78/291.38 = 291.38/x
3. Step 3: Cross multiply
   196.78x = 291.38 × 291.38
4. Step 4: Simplify right side
   196.78x = 84,899.39
5. Step 5: Solve for x
   x = 84,899.39/196.78
6. Step 6: Final answer
   x = 431.44