Finding the Third Proportional to 826,798 and 1,771,694

Step by Step Solution

1. Step 1: Write the proportion equation
   826,798 : 1,771,694 = 1,771,694 : x
2. Step 2: Convert to fraction form
   826,798/1,771,694 = 1,771,694/x
3. Step 3: Cross multiply
   826,798x = 1,771,694 × 1,771,694
4. Step 4: Simplify right side
   826,798x = 3,138,899,629,636
5. Step 5: Solve for x
   x = 3,138,899,629,636/826,798
6. Step 6: Final answer
   x = 3,796,452.86