Finding the Third Proportional to 381,672 and 822,384

Step by Step Solution

1. Step 1: Write the proportion equation
   381,672 : 822,384 = 822,384 : x
2. Step 2: Convert to fraction form
   381,672/822,384 = 822,384/x
3. Step 3: Cross multiply
   381,672x = 822,384 × 822,384
4. Step 4: Simplify right side
   381,672x = 676,315,443,456
5. Step 5: Solve for x
   x = 676,315,443,456/381,672
6. Step 6: Final answer
   x = 1,771,980.77