Finding the Third Proportional to 225,776 and 493,530

Step by Step Solution

1. Step 1: Write the proportion equation
   225,776 : 493,530 = 493,530 : x
2. Step 2: Convert to fraction form
   225,776/493,530 = 493,530/x
3. Step 3: Cross multiply
   225,776x = 493,530 × 493,530
4. Step 4: Simplify right side
   225,776x = 243,571,860,900
5. Step 5: Solve for x
   x = 243,571,860,900/225,776
6. Step 6: Final answer
   x = 1,078,820.87