Finding the Third Proportional to 111,728 and 263,513

Step by Step Solution

1. Step 1: Write the proportion equation
   111,728 : 263,513 = 263,513 : x
2. Step 2: Convert to fraction form
   111,728/263,513 = 263,513/x
3. Step 3: Cross multiply
   111,728x = 263,513 × 263,513
4. Step 4: Simplify right side
   111,728x = 69,439,101,169
5. Step 5: Solve for x
   x = 69,439,101,169/111,728
6. Step 6: Final answer
   x = 621,501.34