Finding the Third Proportional to 225,771 and 493,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,771 : 493,520.50 = 493,520.50 : x
2. Step 2: Convert to fraction form
   225,771/493,520.50 = 493,520.50/x
3. Step 3: Cross multiply
   225,771x = 493,520.50 × 493,520.50
4. Step 4: Simplify right side
   225,771x = 243,562,483,920.25
5. Step 5: Solve for x
   x = 243,562,483,920.25/225,771
6. Step 6: Final answer
   x = 1,078,803.23