Finding the Third Proportional to 120,024 and 261,648

Step by Step Solution

1. Step 1: Write the proportion equation
   120,024 : 261,648 = 261,648 : x
2. Step 2: Convert to fraction form
   120,024/261,648 = 261,648/x
3. Step 3: Cross multiply
   120,024x = 261,648 × 261,648
4. Step 4: Simplify right side
   120,024x = 68,459,675,904
5. Step 5: Solve for x
   x = 68,459,675,904/120,024
6. Step 6: Final answer
   x = 570,383.22