Finding the Third Proportional to 826,082 and 1,807,684

Step by Step Solution

1. Step 1: Write the proportion equation
   826,082 : 1,807,684 = 1,807,684 : x
2. Step 2: Convert to fraction form
   826,082/1,807,684 = 1,807,684/x
3. Step 3: Cross multiply
   826,082x = 1,807,684 × 1,807,684
4. Step 4: Simplify right side
   826,082x = 3,267,721,443,856
5. Step 5: Solve for x
   x = 3,267,721,443,856/826,082
6. Step 6: Final answer
   x = 3,955,686.53