Finding the Third Proportional to 111,633 and 263,472

Step by Step Solution

1. Step 1: Write the proportion equation
   111,633 : 263,472 = 263,472 : x
2. Step 2: Convert to fraction form
   111,633/263,472 = 263,472/x
3. Step 3: Cross multiply
   111,633x = 263,472 × 263,472
4. Step 4: Simplify right side
   111,633x = 69,417,494,784
5. Step 5: Solve for x
   x = 69,417,494,784/111,633
6. Step 6: Final answer
   x = 621,836.69