Finding the Third Proportional to 196.50 and 265.13

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 265.13 = 265.13 : x
2. Step 2: Convert to fraction form
   196.50/265.13 = 265.13/x
3. Step 3: Cross multiply
   196.50x = 265.13 × 265.13
4. Step 4: Simplify right side
   196.50x = 70,291.27
5. Step 5: Solve for x
   x = 70,291.27/196.50
6. Step 6: Final answer
   x = 357.72