Finding the Third Proportional to 1,605,414 and 2,186,649

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605,414 : 2,186,649 = 2,186,649 : x
2. Step 2: Convert to fraction form
   1,605,414/2,186,649 = 2,186,649/x
3. Step 3: Cross multiply
   1,605,414x = 2,186,649 × 2,186,649
4. Step 4: Simplify right side
   1,605,414x = 4,781,433,849,201
5. Step 5: Solve for x
   x = 4,781,433,849,201/1,605,414
6. Step 6: Final answer
   x = 2,978,318.27