Finding the Third Proportional to 2,585,846 and 4,092,546

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585,846 : 4,092,546 = 4,092,546 : x
2. Step 2: Convert to fraction form
   2,585,846/4,092,546 = 4,092,546/x
3. Step 3: Cross multiply
   2,585,846x = 4,092,546 × 4,092,546
4. Step 4: Simplify right side
   2,585,846x = 16,748,932,762,116
5. Step 5: Solve for x
   x = 16,748,932,762,116/2,585,846
6. Step 6: Final answer
   x = 6,477,157.87