Finding the Third Proportional to 204,450 and 419,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,450 : 419,101.50 = 419,101.50 : x
2. Step 2: Convert to fraction form
   204,450/419,101.50 = 419,101.50/x
3. Step 3: Cross multiply
   204,450x = 419,101.50 × 419,101.50
4. Step 4: Simplify right side
   204,450x = 175,646,067,302.25
5. Step 5: Solve for x
   x = 175,646,067,302.25/204,450
6. Step 6: Final answer
   x = 859,115.03