Finding the Third Proportional to 108,204 and 233,688

Step by Step Solution

1. Step 1: Write the proportion equation
   108,204 : 233,688 = 233,688 : x
2. Step 2: Convert to fraction form
   108,204/233,688 = 233,688/x
3. Step 3: Cross multiply
   108,204x = 233,688 × 233,688
4. Step 4: Simplify right side
   108,204x = 54,610,081,344
5. Step 5: Solve for x
   x = 54,610,081,344/108,204
6. Step 6: Final answer
   x = 504,695.59