Finding the Third Proportional to 262,686 and 416,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,686 : 416,020.50 = 416,020.50 : x
2. Step 2: Convert to fraction form
   262,686/416,020.50 = 416,020.50/x
3. Step 3: Cross multiply
   262,686x = 416,020.50 × 416,020.50
4. Step 4: Simplify right side
   262,686x = 173,073,056,420.25
5. Step 5: Solve for x
   x = 173,073,056,420.25/262,686
6. Step 6: Final answer
   x = 658,859.08