Finding the Third Proportional to 509,857.50 and 1,099,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,857.50 : 1,099,540.50 = 1,099,540.50 : x
2. Step 2: Convert to fraction form
   509,857.50/1,099,540.50 = 1,099,540.50/x
3. Step 3: Cross multiply
   509,857.50x = 1,099,540.50 × 1,099,540.50
4. Step 4: Simplify right side
   509,857.50x = 1,208,989,311,140.25
5. Step 5: Solve for x
   x = 1,208,989,311,140.25/509,857.50
6. Step 6: Final answer
   x = 2,371,229.83