Finding the Third Proportional to 196.31 and 319.03

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 319.03 = 319.03 : x
2. Step 2: Convert to fraction form
   196.31/319.03 = 319.03/x
3. Step 3: Cross multiply
   196.31x = 319.03 × 319.03
4. Step 4: Simplify right side
   196.31x = 101,780.94
5. Step 5: Solve for x
   x = 101,780.94/196.31
6. Step 6: Final answer
   x = 518.46