Finding the Third Proportional to 204,651 and 419,139

Step by Step Solution

1. Step 1: Write the proportion equation
   204,651 : 419,139 = 419,139 : x
2. Step 2: Convert to fraction form
   204,651/419,139 = 419,139/x
3. Step 3: Cross multiply
   204,651x = 419,139 × 419,139
4. Step 4: Simplify right side
   204,651x = 175,677,501,321
5. Step 5: Solve for x
   x = 175,677,501,321/204,651
6. Step 6: Final answer
   x = 858,424.84