Finding the Third Proportional to 120,852 and 261,144

Step by Step Solution

1. Step 1: Write the proportion equation
   120,852 : 261,144 = 261,144 : x
2. Step 2: Convert to fraction form
   120,852/261,144 = 261,144/x
3. Step 3: Cross multiply
   120,852x = 261,144 × 261,144
4. Step 4: Simplify right side
   120,852x = 68,196,188,736
5. Step 5: Solve for x
   x = 68,196,188,736/120,852
6. Step 6: Final answer
   x = 564,295.08