Finding the Third Proportional to 108,972 and 233,496

Step by Step Solution

1. Step 1: Write the proportion equation
   108,972 : 233,496 = 233,496 : x
2. Step 2: Convert to fraction form
   108,972/233,496 = 233,496/x
3. Step 3: Cross multiply
   108,972x = 233,496 × 233,496
4. Step 4: Simplify right side
   108,972x = 54,520,382,016
5. Step 5: Solve for x
   x = 54,520,382,016/108,972
6. Step 6: Final answer
   x = 500,315.51