Finding the Third Proportional to 1,081,910 and 1,681,821

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081,910 : 1,681,821 = 1,681,821 : x
2. Step 2: Convert to fraction form
   1,081,910/1,681,821 = 1,681,821/x
3. Step 3: Cross multiply
   1,081,910x = 1,681,821 × 1,681,821
4. Step 4: Simplify right side
   1,081,910x = 2,828,521,876,041
5. Step 5: Solve for x
   x = 2,828,521,876,041/1,081,910
6. Step 6: Final answer
   x = 2,614,378.16