Finding the Third Proportional to 1,083,519 and 1,680,057

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083,519 : 1,680,057 = 1,680,057 : x
2. Step 2: Convert to fraction form
   1,083,519/1,680,057 = 1,680,057/x
3. Step 3: Cross multiply
   1,083,519x = 1,680,057 × 1,680,057
4. Step 4: Simplify right side
   1,083,519x = 2,822,591,523,249
5. Step 5: Solve for x
   x = 2,822,591,523,249/1,083,519
6. Step 6: Final answer
   x = 2,605,022.64