Finding the Third Proportional to 259,726.50 and 398,952

Step by Step Solution

1. Step 1: Write the proportion equation
   259,726.50 : 398,952 = 398,952 : x
2. Step 2: Convert to fraction form
   259,726.50/398,952 = 398,952/x
3. Step 3: Cross multiply
   259,726.50x = 398,952 × 398,952
4. Step 4: Simplify right side
   259,726.50x = 159,162,698,304
5. Step 5: Solve for x
   x = 159,162,698,304/259,726.50
6. Step 6: Final answer
   x = 612,808.85