Finding the Third Proportional to 682,429 and 1,468,538

Step by Step Solution

1. Step 1: Write the proportion equation
   682,429 : 1,468,538 = 1,468,538 : x
2. Step 2: Convert to fraction form
   682,429/1,468,538 = 1,468,538/x
3. Step 3: Cross multiply
   682,429x = 1,468,538 × 1,468,538
4. Step 4: Simplify right side
   682,429x = 2,156,603,857,444
5. Step 5: Solve for x
   x = 2,156,603,857,444/682,429
6. Step 6: Final answer
   x = 3,160,187.88