Finding the Third Proportional to 268,264.50 and 397,782

Step by Step Solution

1. Step 1: Write the proportion equation
   268,264.50 : 397,782 = 397,782 : x
2. Step 2: Convert to fraction form
   268,264.50/397,782 = 397,782/x
3. Step 3: Cross multiply
   268,264.50x = 397,782 × 397,782
4. Step 4: Simplify right side
   268,264.50x = 158,230,519,524
5. Step 5: Solve for x
   x = 158,230,519,524/268,264.50
6. Step 6: Final answer
   x = 589,830.26