Finding the Third Proportional to 262,689 and 416,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,689 : 416,025.50 = 416,025.50 : x
2. Step 2: Convert to fraction form
   262,689/416,025.50 = 416,025.50/x
3. Step 3: Cross multiply
   262,689x = 416,025.50 × 416,025.50
4. Step 4: Simplify right side
   262,689x = 173,077,216,650.25
5. Step 5: Solve for x
   x = 173,077,216,650.25/262,689
6. Step 6: Final answer
   x = 658,867.39