Finding the Third Proportional to 196.38 and 423.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.38 : 423.88 = 423.88 : x
2. Step 2: Convert to fraction form
   196.38/423.88 = 423.88/x
3. Step 3: Cross multiply
   196.38x = 423.88 × 423.88
4. Step 4: Simplify right side
   196.38x = 179,670.02
5. Step 5: Solve for x
   x = 179,670.02/196.38
6. Step 6: Final answer
   x = 914.93