Finding the Third Proportional to 280,884 and 397,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,884 : 397,442.50 = 397,442.50 : x
2. Step 2: Convert to fraction form
   280,884/397,442.50 = 397,442.50/x
3. Step 3: Cross multiply
   280,884x = 397,442.50 × 397,442.50
4. Step 4: Simplify right side
   280,884x = 157,960,540,806.25
5. Step 5: Solve for x
   x = 157,960,540,806.25/280,884
6. Step 6: Final answer
   x = 562,369.31