Finding the Third Proportional to 196,785 and 422,238

Step by Step Solution

1. Step 1: Write the proportion equation
   196,785 : 422,238 = 422,238 : x
2. Step 2: Convert to fraction form
   196,785/422,238 = 422,238/x
3. Step 3: Cross multiply
   196,785x = 422,238 × 422,238
4. Step 4: Simplify right side
   196,785x = 178,284,928,644
5. Step 5: Solve for x
   x = 178,284,928,644/196,785
6. Step 6: Final answer
   x = 905,988.41