Finding the Third Proportional to 204,829 and 419,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,829 : 419,497.50 = 419,497.50 : x
2. Step 2: Convert to fraction form
   204,829/419,497.50 = 419,497.50/x
3. Step 3: Cross multiply
   204,829x = 419,497.50 × 419,497.50
4. Step 4: Simplify right side
   204,829x = 175,978,152,506.25
5. Step 5: Solve for x
   x = 175,978,152,506.25/204,829
6. Step 6: Final answer
   x = 859,146.67