Finding the Third Proportional to 120,227 and 256,540

Step by Step Solution

1. Step 1: Write the proportion equation
   120,227 : 256,540 = 256,540 : x
2. Step 2: Convert to fraction form
   120,227/256,540 = 256,540/x
3. Step 3: Cross multiply
   120,227x = 256,540 × 256,540
4. Step 4: Simplify right side
   120,227x = 65,812,771,600
5. Step 5: Solve for x
   x = 65,812,771,600/120,227
6. Step 6: Final answer
   x = 547,404.26