Finding the Third Proportional to 111,721 and 263,498

Step by Step Solution

1. Step 1: Write the proportion equation
   111,721 : 263,498 = 263,498 : x
2. Step 2: Convert to fraction form
   111,721/263,498 = 263,498/x
3. Step 3: Cross multiply
   111,721x = 263,498 × 263,498
4. Step 4: Simplify right side
   111,721x = 69,431,196,004
5. Step 5: Solve for x
   x = 69,431,196,004/111,721
6. Step 6: Final answer
   x = 621,469.52