Finding the Third Proportional to 196.10 and 406.05

Step by Step Solution

1. Step 1: Write the proportion equation
   196.10 : 406.05 = 406.05 : x
2. Step 2: Convert to fraction form
   196.10/406.05 = 406.05/x
3. Step 3: Cross multiply
   196.10x = 406.05 × 406.05
4. Step 4: Simplify right side
   196.10x = 164,880.41
5. Step 5: Solve for x
   x = 164,880.41/196.10
6. Step 6: Final answer
   x = 840.79