Finding the Third Proportional to 120,760 and 262,268

Step by Step Solution

1. Step 1: Write the proportion equation
   120,760 : 262,268 = 262,268 : x
2. Step 2: Convert to fraction form
   120,760/262,268 = 262,268/x
3. Step 3: Cross multiply
   120,760x = 262,268 × 262,268
4. Step 4: Simplify right side
   120,760x = 68,784,503,824
5. Step 5: Solve for x
   x = 68,784,503,824/120,760
6. Step 6: Final answer
   x = 569,596.75