Finding the Third Proportional to 120,225 and 258,540

Step by Step Solution

1. Step 1: Write the proportion equation
   120,225 : 258,540 = 258,540 : x
2. Step 2: Convert to fraction form
   120,225/258,540 = 258,540/x
3. Step 3: Cross multiply
   120,225x = 258,540 × 258,540
4. Step 4: Simplify right side
   120,225x = 66,842,931,600
5. Step 5: Solve for x
   x = 66,842,931,600/120,225
6. Step 6: Final answer
   x = 555,981.96