Finding the Third Proportional to 196.26 and 412.72

Step by Step Solution

1. Step 1: Write the proportion equation
   196.26 : 412.72 = 412.72 : x
2. Step 2: Convert to fraction form
   196.26/412.72 = 412.72/x
3. Step 3: Cross multiply
   196.26x = 412.72 × 412.72
4. Step 4: Simplify right side
   196.26x = 170,335.15
5. Step 5: Solve for x
   x = 170,335.15/196.26
6. Step 6: Final answer
   x = 867.91