Finding the Third Proportional to 196.69 and 422.06

Step by Step Solution

1. Step 1: Write the proportion equation
   196.69 : 422.06 = 422.06 : x
2. Step 2: Convert to fraction form
   196.69/422.06 = 422.06/x
3. Step 3: Cross multiply
   196.69x = 422.06 × 422.06
4. Step 4: Simplify right side
   196.69x = 178,136.75
5. Step 5: Solve for x
   x = 178,136.75/196.69
6. Step 6: Final answer
   x = 905.68