Finding the Third Proportional to 108,223.50 and 231,999

Step by Step Solution

1. Step 1: Write the proportion equation
   108,223.50 : 231,999 = 231,999 : x
2. Step 2: Convert to fraction form
   108,223.50/231,999 = 231,999/x
3. Step 3: Cross multiply
   108,223.50x = 231,999 × 231,999
4. Step 4: Simplify right side
   108,223.50x = 53,823,536,001
5. Step 5: Solve for x
   x = 53,823,536,001/108,223.50
6. Step 6: Final answer
   x = 497,336.86