Finding the Third Proportional to 204,656 and 419,456

Step by Step Solution

1. Step 1: Write the proportion equation
   204,656 : 419,456 = 419,456 : x
2. Step 2: Convert to fraction form
   204,656/419,456 = 419,456/x
3. Step 3: Cross multiply
   204,656x = 419,456 × 419,456
4. Step 4: Simplify right side
   204,656x = 175,943,335,936
5. Step 5: Solve for x
   x = 175,943,335,936/204,656
6. Step 6: Final answer
   x = 859,702.80