Finding the Third Proportional to 380,982 and 827,642

Step by Step Solution

1. Step 1: Write the proportion equation
   380,982 : 827,642 = 827,642 : x
2. Step 2: Convert to fraction form
   380,982/827,642 = 827,642/x
3. Step 3: Cross multiply
   380,982x = 827,642 × 827,642
4. Step 4: Simplify right side
   380,982x = 684,991,280,164
5. Step 5: Solve for x
   x = 684,991,280,164/380,982
6. Step 6: Final answer
   x = 1,797,962.32