Finding the Third Proportional to 1,102,810 and 1,686,656

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102,810 : 1,686,656 = 1,686,656 : x
2. Step 2: Convert to fraction form
   1,102,810/1,686,656 = 1,686,656/x
3. Step 3: Cross multiply
   1,102,810x = 1,686,656 × 1,686,656
4. Step 4: Simplify right side
   1,102,810x = 2,844,808,462,336
5. Step 5: Solve for x
   x = 2,844,808,462,336/1,102,810
6. Step 6: Final answer
   x = 2,579,599.81