Finding the Third Proportional to 196.38 and 310.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.38 : 310.88 = 310.88 : x
2. Step 2: Convert to fraction form
   196.38/310.88 = 310.88/x
3. Step 3: Cross multiply
   196.38x = 310.88 × 310.88
4. Step 4: Simplify right side
   196.38x = 96,643.27
5. Step 5: Solve for x
   x = 96,643.27/196.38
6. Step 6: Final answer
   x = 492.14