Finding the Third Proportional to 1,077,018 and 1,689,663

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,018 : 1,689,663 = 1,689,663 : x
2. Step 2: Convert to fraction form
   1,077,018/1,689,663 = 1,689,663/x
3. Step 3: Cross multiply
   1,077,018x = 1,689,663 × 1,689,663
4. Step 4: Simplify right side
   1,077,018x = 2,854,961,053,569
5. Step 5: Solve for x
   x = 2,854,961,053,569/1,077,018
6. Step 6: Final answer
   x = 2,650,801.61