Finding the Third Proportional to 196.41 and 422.16

Step by Step Solution

1. Step 1: Write the proportion equation
   196.41 : 422.16 = 422.16 : x
2. Step 2: Convert to fraction form
   196.41/422.16 = 422.16/x
3. Step 3: Cross multiply
   196.41x = 422.16 × 422.16
4. Step 4: Simplify right side
   196.41x = 178,215.90
5. Step 5: Solve for x
   x = 178,215.90/196.41
6. Step 6: Final answer
   x = 907.38