Finding the Third Proportional to 196.94 and 414.13

Step by Step Solution

1. Step 1: Write the proportion equation
   196.94 : 414.13 = 414.13 : x
2. Step 2: Convert to fraction form
   196.94/414.13 = 414.13/x
3. Step 3: Cross multiply
   196.94x = 414.13 × 414.13
4. Step 4: Simplify right side
   196.94x = 171,499.52
5. Step 5: Solve for x
   x = 171,499.52/196.94
6. Step 6: Final answer
   x = 870.83