Finding the Third Proportional to 1,074,856 and 1,677,642

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074,856 : 1,677,642 = 1,677,642 : x
2. Step 2: Convert to fraction form
   1,074,856/1,677,642 = 1,677,642/x
3. Step 3: Cross multiply
   1,074,856x = 1,677,642 × 1,677,642
4. Step 4: Simplify right side
   1,074,856x = 2,814,482,680,164
5. Step 5: Solve for x
   x = 2,814,482,680,164/1,074,856
6. Step 6: Final answer
   x = 2,618,474.18