Finding the Third Proportional to 195,779 and 422,662

Step by Step Solution

1. Step 1: Write the proportion equation
   195,779 : 422,662 = 422,662 : x
2. Step 2: Convert to fraction form
   195,779/422,662 = 422,662/x
3. Step 3: Cross multiply
   195,779x = 422,662 × 422,662
4. Step 4: Simplify right side
   195,779x = 178,643,166,244
5. Step 5: Solve for x
   x = 178,643,166,244/195,779
6. Step 6: Final answer
   x = 912,473.59