Finding the Third Proportional to 399,825.25 and 827,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   399,825.25 : 827,944.50 = 827,944.50 : x
2. Step 2: Convert to fraction form
   399,825.25/827,944.50 = 827,944.50/x
3. Step 3: Cross multiply
   399,825.25x = 827,944.50 × 827,944.50
4. Step 4: Simplify right side
   399,825.25x = 685,492,095,080.25
5. Step 5: Solve for x
   x = 685,492,095,080.25/399,825.25
6. Step 6: Final answer
   x = 1,714,479.25