Finding the Third Proportional to 384,216 and 827,616

Step by Step Solution

1. Step 1: Write the proportion equation
   384,216 : 827,616 = 827,616 : x
2. Step 2: Convert to fraction form
   384,216/827,616 = 827,616/x
3. Step 3: Cross multiply
   384,216x = 827,616 × 827,616
4. Step 4: Simplify right side
   384,216x = 684,948,243,456
5. Step 5: Solve for x
   x = 684,948,243,456/384,216
6. Step 6: Final answer
   x = 1,782,716.61