Finding the Third Proportional to 108,181 and 231,308

Step by Step Solution

1. Step 1: Write the proportion equation
   108,181 : 231,308 = 231,308 : x
2. Step 2: Convert to fraction form
   108,181/231,308 = 231,308/x
3. Step 3: Cross multiply
   108,181x = 231,308 × 231,308
4. Step 4: Simplify right side
   108,181x = 53,503,390,864
5. Step 5: Solve for x
   x = 53,503,390,864/108,181
6. Step 6: Final answer
   x = 494,572.90