Finding the Third Proportional to 196.31 and 422.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 422.25 = 422.25 : x
2. Step 2: Convert to fraction form
   196.31/422.25 = 422.25/x
3. Step 3: Cross multiply
   196.31x = 422.25 × 422.25
4. Step 4: Simplify right side
   196.31x = 178,295.06
5. Step 5: Solve for x
   x = 178,295.06/196.31
6. Step 6: Final answer
   x = 908.22