Finding the Third Proportional to 826,814 and 1,771,722

Step by Step Solution

1. Step 1: Write the proportion equation
   826,814 : 1,771,722 = 1,771,722 : x
2. Step 2: Convert to fraction form
   826,814/1,771,722 = 1,771,722/x
3. Step 3: Cross multiply
   826,814x = 1,771,722 × 1,771,722
4. Step 4: Simplify right side
   826,814x = 3,138,998,845,284
5. Step 5: Solve for x
   x = 3,138,998,845,284/826,814
6. Step 6: Final answer
   x = 3,796,499.39