Finding the Third Proportional to 120,096 and 262,764

Step by Step Solution

1. Step 1: Write the proportion equation
   120,096 : 262,764 = 262,764 : x
2. Step 2: Convert to fraction form
   120,096/262,764 = 262,764/x
3. Step 3: Cross multiply
   120,096x = 262,764 × 262,764
4. Step 4: Simplify right side
   120,096x = 69,044,919,696
5. Step 5: Solve for x
   x = 69,044,919,696/120,096
6. Step 6: Final answer
   x = 574,914.40