Finding the Third Proportional to 111,309 and 262,491

Step by Step Solution

1. Step 1: Write the proportion equation
   111,309 : 262,491 = 262,491 : x
2. Step 2: Convert to fraction form
   111,309/262,491 = 262,491/x
3. Step 3: Cross multiply
   111,309x = 262,491 × 262,491
4. Step 4: Simplify right side
   111,309x = 68,901,525,081
5. Step 5: Solve for x
   x = 68,901,525,081/111,309
6. Step 6: Final answer
   x = 619,011.27