Finding the Third Proportional to 297,879 and 416,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   297,879 : 416,686.50 = 416,686.50 : x
2. Step 2: Convert to fraction form
   297,879/416,686.50 = 416,686.50/x
3. Step 3: Cross multiply
   297,879x = 416,686.50 × 416,686.50
4. Step 4: Simplify right side
   297,879x = 173,627,639,282.25
5. Step 5: Solve for x
   x = 173,627,639,282.25/297,879
6. Step 6: Final answer
   x = 582,879.76