Finding the Third Proportional to 196.80 and 423.98

Step by Step Solution

1. Step 1: Write the proportion equation
   196.80 : 423.98 = 423.98 : x
2. Step 2: Convert to fraction form
   196.80/423.98 = 423.98/x
3. Step 3: Cross multiply
   196.80x = 423.98 × 423.98
4. Step 4: Simplify right side
   196.80x = 179,762.75
5. Step 5: Solve for x
   x = 179,762.75/196.80
6. Step 6: Final answer
   x = 913.41