Finding the Third Proportional to 255,772.69 and 382,078.69

Step by Step Solution

1. Step 1: Write the proportion equation
   255,772.69 : 382,078.69 = 382,078.69 : x
2. Step 2: Convert to fraction form
   255,772.69/382,078.69 = 382,078.69/x
3. Step 3: Cross multiply
   255,772.69x = 382,078.69 × 382,078.69
4. Step 4: Simplify right side
   255,772.69x = 145,984,123,441.72
5. Step 5: Solve for x
   x = 145,984,123,441.72/255,772.69
6. Step 6: Final answer
   x = 570,757.28