Finding the Third Proportional to 204,825 and 417,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,825 : 417,784.50 = 417,784.50 : x
2. Step 2: Convert to fraction form
   204,825/417,784.50 = 417,784.50/x
3. Step 3: Cross multiply
   204,825x = 417,784.50 × 417,784.50
4. Step 4: Simplify right side
   204,825x = 174,543,888,440.25
5. Step 5: Solve for x
   x = 174,543,888,440.25/204,825
6. Step 6: Final answer
   x = 852,161.06