Finding the Third Proportional to 1,081,782 and 1,681,641

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081,782 : 1,681,641 = 1,681,641 : x
2. Step 2: Convert to fraction form
   1,081,782/1,681,641 = 1,681,641/x
3. Step 3: Cross multiply
   1,081,782x = 1,681,641 × 1,681,641
4. Step 4: Simplify right side
   1,081,782x = 2,827,916,452,881
5. Step 5: Solve for x
   x = 2,827,916,452,881/1,081,782
6. Step 6: Final answer
   x = 2,614,127.85