Finding the Third Proportional to 204,829.50 and 419,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,829.50 : 419,498.25 = 419,498.25 : x
2. Step 2: Convert to fraction form
   204,829.50/419,498.25 = 419,498.25/x
3. Step 3: Cross multiply
   204,829.50x = 419,498.25 × 419,498.25
4. Step 4: Simplify right side
   204,829.50x = 175,978,781,753.06
5. Step 5: Solve for x
   x = 175,978,781,753.06/204,829.50
6. Step 6: Final answer
   x = 859,147.64