Finding the Third Proportional to 204,462 and 419,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,462 : 419,123.25 = 419,123.25 : x
2. Step 2: Convert to fraction form
   204,462/419,123.25 = 419,123.25/x
3. Step 3: Cross multiply
   204,462x = 419,123.25 × 419,123.25
4. Step 4: Simplify right side
   204,462x = 175,664,298,690.56
5. Step 5: Solve for x
   x = 175,664,298,690.56/204,462
6. Step 6: Final answer
   x = 859,153.77