Finding the Third Proportional to 1,082,007 and 1,688,518

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,007 : 1,688,518 = 1,688,518 : x
2. Step 2: Convert to fraction form
   1,082,007/1,688,518 = 1,688,518/x
3. Step 3: Cross multiply
   1,082,007x = 1,688,518 × 1,688,518
4. Step 4: Simplify right side
   1,082,007x = 2,851,093,036,324
5. Step 5: Solve for x
   x = 2,851,093,036,324/1,082,007
6. Step 6: Final answer
   x = 2,635,004.24