Finding the Third Proportional to 376,200 and 822,384

Step by Step Solution

1. Step 1: Write the proportion equation
   376,200 : 822,384 = 822,384 : x
2. Step 2: Convert to fraction form
   376,200/822,384 = 822,384/x
3. Step 3: Cross multiply
   376,200x = 822,384 × 822,384
4. Step 4: Simplify right side
   376,200x = 676,315,443,456
5. Step 5: Solve for x
   x = 676,315,443,456/376,200
6. Step 6: Final answer
   x = 1,797,755.03