Finding the Third Proportional to 196.75 and 428.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 428.38 = 428.38 : x
2. Step 2: Convert to fraction form
   196.75/428.38 = 428.38/x
3. Step 3: Cross multiply
   196.75x = 428.38 × 428.38
4. Step 4: Simplify right side
   196.75x = 183,505.14
5. Step 5: Solve for x
   x = 183,505.14/196.75
6. Step 6: Final answer
   x = 932.68