Finding the Third Proportional to 105,714 and 231,108

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 231,108 = 231,108 : x
2. Step 2: Convert to fraction form
   105,714/231,108 = 231,108/x
3. Step 3: Cross multiply
   105,714x = 231,108 × 231,108
4. Step 4: Simplify right side
   105,714x = 53,410,907,664
5. Step 5: Solve for x
   x = 53,410,907,664/105,714
6. Step 6: Final answer
   x = 505,239.68