Finding the Third Proportional to 1,102,993 and 1,686,226

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102,993 : 1,686,226 = 1,686,226 : x
2. Step 2: Convert to fraction form
   1,102,993/1,686,226 = 1,686,226/x
3. Step 3: Cross multiply
   1,102,993x = 1,686,226 × 1,686,226
4. Step 4: Simplify right side
   1,102,993x = 2,843,358,123,076
5. Step 5: Solve for x
   x = 2,843,358,123,076/1,102,993
6. Step 6: Final answer
   x = 2,577,856.91