Finding the Third Proportional to 105,288 and 233,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,288 : 233,904 = 233,904 : x
2. Step 2: Convert to fraction form
   105,288/233,904 = 233,904/x
3. Step 3: Cross multiply
   105,288x = 233,904 × 233,904
4. Step 4: Simplify right side
   105,288x = 54,711,081,216
5. Step 5: Solve for x
   x = 54,711,081,216/105,288
6. Step 6: Final answer
   x = 519,632.64