Finding the Third Proportional to 111,726 and 263,508

Step by Step Solution

1. Step 1: Write the proportion equation
   111,726 : 263,508 = 263,508 : x
2. Step 2: Convert to fraction form
   111,726/263,508 = 263,508/x
3. Step 3: Cross multiply
   111,726x = 263,508 × 263,508
4. Step 4: Simplify right side
   111,726x = 69,436,466,064
5. Step 5: Solve for x
   x = 69,436,466,064/111,726
6. Step 6: Final answer
   x = 621,488.88