Finding the Third Proportional to 196.25 and 314.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.25 : 314.38 = 314.38 : x
2. Step 2: Convert to fraction form
   196.25/314.38 = 314.38/x
3. Step 3: Cross multiply
   196.25x = 314.38 × 314.38
4. Step 4: Simplify right side
   196.25x = 98,831.64
5. Step 5: Solve for x
   x = 98,831.64/196.25
6. Step 6: Final answer
   x = 503.60