Finding the Third Proportional to 196.88 and 369.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.88 : 369.38 = 369.38 : x
2. Step 2: Convert to fraction form
   196.88/369.38 = 369.38/x
3. Step 3: Cross multiply
   196.88x = 369.38 × 369.38
4. Step 4: Simplify right side
   196.88x = 136,437.89
5. Step 5: Solve for x
   x = 136,437.89/196.88
6. Step 6: Final answer
   x = 693.02