Finding the Third Proportional to 778,851 and 1,682,262

Step by Step Solution

1. Step 1: Write the proportion equation
   778,851 : 1,682,262 = 1,682,262 : x
2. Step 2: Convert to fraction form
   778,851/1,682,262 = 1,682,262/x
3. Step 3: Cross multiply
   778,851x = 1,682,262 × 1,682,262
4. Step 4: Simplify right side
   778,851x = 2,830,005,436,644
5. Step 5: Solve for x
   x = 2,830,005,436,644/778,851
6. Step 6: Final answer
   x = 3,633,564.62