Finding the Third Proportional to 196,734 and 422,142

Step by Step Solution

1. Step 1: Write the proportion equation
   196,734 : 422,142 = 422,142 : x
2. Step 2: Convert to fraction form
   196,734/422,142 = 422,142/x
3. Step 3: Cross multiply
   196,734x = 422,142 × 422,142
4. Step 4: Simplify right side
   196,734x = 178,203,868,164
5. Step 5: Solve for x
   x = 178,203,868,164/196,734
6. Step 6: Final answer
   x = 905,811.24