Finding the Third Proportional to 193.42 and 419.27

Step by Step Solution

1. Step 1: Write the proportion equation
   193.42 : 419.27 = 419.27 : x
2. Step 2: Convert to fraction form
   193.42/419.27 = 419.27/x
3. Step 3: Cross multiply
   193.42x = 419.27 × 419.27
4. Step 4: Simplify right side
   193.42x = 175,789.75
5. Step 5: Solve for x
   x = 175,789.75/193.42
6. Step 6: Final answer
   x = 908.86