Finding the Third Proportional to 380,783 and 827,116

Step by Step Solution

1. Step 1: Write the proportion equation
   380,783 : 827,116 = 827,116 : x
2. Step 2: Convert to fraction form
   380,783/827,116 = 827,116/x
3. Step 3: Cross multiply
   380,783x = 827,116 × 827,116
4. Step 4: Simplify right side
   380,783x = 684,120,877,456
5. Step 5: Solve for x
   x = 684,120,877,456/380,783
6. Step 6: Final answer
   x = 1,796,616.12