Finding the Third Proportional to 225,774 and 493,526

Step by Step Solution

1. Step 1: Write the proportion equation
   225,774 : 493,526 = 493,526 : x
2. Step 2: Convert to fraction form
   225,774/493,526 = 493,526/x
3. Step 3: Cross multiply
   225,774x = 493,526 × 493,526
4. Step 4: Simplify right side
   225,774x = 243,567,912,676
5. Step 5: Solve for x
   x = 243,567,912,676/225,774
6. Step 6: Final answer
   x = 1,078,812.94