Finding the Third Proportional to 204,471 and 419,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,471 : 419,141.25 = 419,141.25 : x
2. Step 2: Convert to fraction form
   204,471/419,141.25 = 419,141.25/x
3. Step 3: Cross multiply
   204,471x = 419,141.25 × 419,141.25
4. Step 4: Simplify right side
   204,471x = 175,679,387,451.56
5. Step 5: Solve for x
   x = 175,679,387,451.56/204,471
6. Step 6: Final answer
   x = 859,189.75