Finding the Third Proportional to 380,805 and 827,164

Step by Step Solution

1. Step 1: Write the proportion equation
   380,805 : 827,164 = 827,164 : x
2. Step 2: Convert to fraction form
   380,805/827,164 = 827,164/x
3. Step 3: Cross multiply
   380,805x = 827,164 × 827,164
4. Step 4: Simplify right side
   380,805x = 684,200,282,896
5. Step 5: Solve for x
   x = 684,200,282,896/380,805
6. Step 6: Final answer
   x = 1,796,720.85