Finding the Third Proportional to 108,223 and 231,997

Step by Step Solution

1. Step 1: Write the proportion equation
   108,223 : 231,997 = 231,997 : x
2. Step 2: Convert to fraction form
   108,223/231,997 = 231,997/x
3. Step 3: Cross multiply
   108,223x = 231,997 × 231,997
4. Step 4: Simplify right side
   108,223x = 53,822,608,009
5. Step 5: Solve for x
   x = 53,822,608,009/108,223
6. Step 6: Final answer
   x = 497,330.59