Finding the Third Proportional to 381,531 and 822,111

Step by Step Solution

1. Step 1: Write the proportion equation
   381,531 : 822,111 = 822,111 : x
2. Step 2: Convert to fraction form
   381,531/822,111 = 822,111/x
3. Step 3: Cross multiply
   381,531x = 822,111 × 822,111
4. Step 4: Simplify right side
   381,531x = 675,866,496,321
5. Step 5: Solve for x
   x = 675,866,496,321/381,531
6. Step 6: Final answer
   x = 1,771,458.93