Finding the Third Proportional to 262,685 and 416,019

Step by Step Solution

1. Step 1: Write the proportion equation
   262,685 : 416,019 = 416,019 : x
2. Step 2: Convert to fraction form
   262,685/416,019 = 416,019/x
3. Step 3: Cross multiply
   262,685x = 416,019 × 416,019
4. Step 4: Simplify right side
   262,685x = 173,071,808,361
5. Step 5: Solve for x
   x = 173,071,808,361/262,685
6. Step 6: Final answer
   x = 658,856.84