Finding the Third Proportional to 262,684 and 416,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,684 : 416,017.50 = 416,017.50 : x
2. Step 2: Convert to fraction form
   262,684/416,017.50 = 416,017.50/x
3. Step 3: Cross multiply
   262,684x = 416,017.50 × 416,017.50
4. Step 4: Simplify right side
   262,684x = 173,070,560,306.25
5. Step 5: Solve for x
   x = 173,070,560,306.25/262,684
6. Step 6: Final answer
   x = 658,854.59