Finding the Third Proportional to 120,852 and 261,792

Step by Step Solution

1. Step 1: Write the proportion equation
   120,852 : 261,792 = 261,792 : x
2. Step 2: Convert to fraction form
   120,852/261,792 = 261,792/x
3. Step 3: Cross multiply
   120,852x = 261,792 × 261,792
4. Step 4: Simplify right side
   120,852x = 68,535,051,264
5. Step 5: Solve for x
   x = 68,535,051,264/120,852
6. Step 6: Final answer
   x = 567,099.02