Finding the Third Proportional to 778,857 and 1,682,274

Step by Step Solution

1. Step 1: Write the proportion equation
   778,857 : 1,682,274 = 1,682,274 : x
2. Step 2: Convert to fraction form
   778,857/1,682,274 = 1,682,274/x
3. Step 3: Cross multiply
   778,857x = 1,682,274 × 1,682,274
4. Step 4: Simplify right side
   778,857x = 2,830,045,811,076
5. Step 5: Solve for x
   x = 2,830,045,811,076/778,857
6. Step 6: Final answer
   x = 3,633,588.46