Finding the Third Proportional to 195,870 and 422,836

Step by Step Solution

1. Step 1: Write the proportion equation
   195,870 : 422,836 = 422,836 : x
2. Step 2: Convert to fraction form
   195,870/422,836 = 422,836/x
3. Step 3: Cross multiply
   195,870x = 422,836 × 422,836
4. Step 4: Simplify right side
   195,870x = 178,790,282,896
5. Step 5: Solve for x
   x = 178,790,282,896/195,870
6. Step 6: Final answer
   x = 912,800.75