Finding the Third Proportional to 262,698 and 416,040

Step by Step Solution

1. Step 1: Write the proportion equation
   262,698 : 416,040 = 416,040 : x
2. Step 2: Convert to fraction form
   262,698/416,040 = 416,040/x
3. Step 3: Cross multiply
   262,698x = 416,040 × 416,040
4. Step 4: Simplify right side
   262,698x = 173,089,281,600
5. Step 5: Solve for x
   x = 173,089,281,600/262,698
6. Step 6: Final answer
   x = 658,890.75