Finding the Third Proportional to 196.75 and 406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 406.25 = 406.25 : x
2. Step 2: Convert to fraction form
   196.75/406.25 = 406.25/x
3. Step 3: Cross multiply
   196.75x = 406.25 × 406.25
4. Step 4: Simplify right side
   196.75x = 165,039.06
5. Step 5: Solve for x
   x = 165,039.06/196.75
6. Step 6: Final answer
   x = 838.83