Finding the Third Proportional to 105,181 and 231,397

Step by Step Solution

1. Step 1: Write the proportion equation
   105,181 : 231,397 = 231,397 : x
2. Step 2: Convert to fraction form
   105,181/231,397 = 231,397/x
3. Step 3: Cross multiply
   105,181x = 231,397 × 231,397
4. Step 4: Simplify right side
   105,181x = 53,544,571,609
5. Step 5: Solve for x
   x = 53,544,571,609/105,181
6. Step 6: Final answer
   x = 509,070.76