Finding the Third Proportional to 200,806 and 422,320

Step by Step Solution

1. Step 1: Write the proportion equation
   200,806 : 422,320 = 422,320 : x
2. Step 2: Convert to fraction form
   200,806/422,320 = 422,320/x
3. Step 3: Cross multiply
   200,806x = 422,320 × 422,320
4. Step 4: Simplify right side
   200,806x = 178,354,182,400
5. Step 5: Solve for x
   x = 178,354,182,400/200,806
6. Step 6: Final answer
   x = 888,191.50