Finding the Third Proportional to 108,192 and 233,664

Step by Step Solution

1. Step 1: Write the proportion equation
   108,192 : 233,664 = 233,664 : x
2. Step 2: Convert to fraction form
   108,192/233,664 = 233,664/x
3. Step 3: Cross multiply
   108,192x = 233,664 × 233,664
4. Step 4: Simplify right side
   108,192x = 54,598,864,896
5. Step 5: Solve for x
   x = 54,598,864,896/108,192
6. Step 6: Final answer
   x = 504,647.89