Finding the Third Proportional to 108,164 and 231,268

Step by Step Solution

1. Step 1: Write the proportion equation
   108,164 : 231,268 = 231,268 : x
2. Step 2: Convert to fraction form
   108,164/231,268 = 231,268/x
3. Step 3: Cross multiply
   108,164x = 231,268 × 231,268
4. Step 4: Simplify right side
   108,164x = 53,484,887,824
5. Step 5: Solve for x
   x = 53,484,887,824/108,164
6. Step 6: Final answer
   x = 494,479.57