Finding the Third Proportional to 196.31 and 501.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 501.75 = 501.75 : x
2. Step 2: Convert to fraction form
   196.31/501.75 = 501.75/x
3. Step 3: Cross multiply
   196.31x = 501.75 × 501.75
4. Step 4: Simplify right side
   196.31x = 251,753.06
5. Step 5: Solve for x
   x = 251,753.06/196.31
6. Step 6: Final answer
   x = 1,282.41