Finding the Third Proportional to 120,522 and 263,256

Step by Step Solution

1. Step 1: Write the proportion equation
   120,522 : 263,256 = 263,256 : x
2. Step 2: Convert to fraction form
   120,522/263,256 = 263,256/x
3. Step 3: Cross multiply
   120,522x = 263,256 × 263,256
4. Step 4: Simplify right side
   120,522x = 69,303,721,536
5. Step 5: Solve for x
   x = 69,303,721,536/120,522
6. Step 6: Final answer
   x = 575,029.63