Finding the Third Proportional to 204,472 and 419,144

Step by Step Solution

1. Step 1: Write the proportion equation
   204,472 : 419,144 = 419,144 : x
2. Step 2: Convert to fraction form
   204,472/419,144 = 419,144/x
3. Step 3: Cross multiply
   204,472x = 419,144 × 419,144
4. Step 4: Simplify right side
   204,472x = 175,681,692,736
5. Step 5: Solve for x
   x = 175,681,692,736/204,472
6. Step 6: Final answer
   x = 859,196.82