Finding the Third Proportional to 196.63 and 418.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.63 : 418.38 = 418.38 : x
2. Step 2: Convert to fraction form
   196.63/418.38 = 418.38/x
3. Step 3: Cross multiply
   196.63x = 418.38 × 418.38
4. Step 4: Simplify right side
   196.63x = 175,037.64
5. Step 5: Solve for x
   x = 175,037.64/196.63
6. Step 6: Final answer
   x = 890.21