Finding the Third Proportional to 826,326 and 1,751,877

Step by Step Solution

1. Step 1: Write the proportion equation
   826,326 : 1,751,877 = 1,751,877 : x
2. Step 2: Convert to fraction form
   826,326/1,751,877 = 1,751,877/x
3. Step 3: Cross multiply
   826,326x = 1,751,877 × 1,751,877
4. Step 4: Simplify right side
   826,326x = 3,069,073,023,129
5. Step 5: Solve for x
   x = 3,069,073,023,129/826,326
6. Step 6: Final answer
   x = 3,714,118.91