Finding the Third Proportional to 107,736 and 231,348

Step by Step Solution

1. Step 1: Write the proportion equation
   107,736 : 231,348 = 231,348 : x
2. Step 2: Convert to fraction form
   107,736/231,348 = 231,348/x
3. Step 3: Cross multiply
   107,736x = 231,348 × 231,348
4. Step 4: Simplify right side
   107,736x = 53,521,897,104
5. Step 5: Solve for x
   x = 53,521,897,104/107,736
6. Step 6: Final answer
   x = 496,787.49