Finding the Third Proportional to 196.97 and 288.47

Step by Step Solution

1. Step 1: Write the proportion equation
   196.97 : 288.47 = 288.47 : x
2. Step 2: Convert to fraction form
   196.97/288.47 = 288.47/x
3. Step 3: Cross multiply
   196.97x = 288.47 × 288.47
4. Step 4: Simplify right side
   196.97x = 83,214.22
5. Step 5: Solve for x
   x = 83,214.22/196.97
6. Step 6: Final answer
   x = 422.47