Finding the Third Proportional to 682,518 and 1,468,069

Step by Step Solution

1. Step 1: Write the proportion equation
   682,518 : 1,468,069 = 1,468,069 : x
2. Step 2: Convert to fraction form
   682,518/1,468,069 = 1,468,069/x
3. Step 3: Cross multiply
   682,518x = 1,468,069 × 1,468,069
4. Step 4: Simplify right side
   682,518x = 2,155,226,588,761
5. Step 5: Solve for x
   x = 2,155,226,588,761/682,518
6. Step 6: Final answer
   x = 3,157,757.87