Finding the Third Proportional to 778,871 and 1,682,297

Step by Step Solution

1. Step 1: Write the proportion equation
   778,871 : 1,682,297 = 1,682,297 : x
2. Step 2: Convert to fraction form
   778,871/1,682,297 = 1,682,297/x
3. Step 3: Cross multiply
   778,871x = 1,682,297 × 1,682,297
4. Step 4: Simplify right side
   778,871x = 2,830,123,196,209
5. Step 5: Solve for x
   x = 2,830,123,196,209/778,871
6. Step 6: Final answer
   x = 3,633,622.51