Finding the Third Proportional to 196.50 and 314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 314.25 = 314.25 : x
2. Step 2: Convert to fraction form
   196.50/314.25 = 314.25/x
3. Step 3: Cross multiply
   196.50x = 314.25 × 314.25
4. Step 4: Simplify right side
   196.50x = 98,753.06
5. Step 5: Solve for x
   x = 98,753.06/196.50
6. Step 6: Final answer
   x = 502.56