Finding the Third Proportional to 105,712 and 231,104

Step by Step Solution

1. Step 1: Write the proportion equation
   105,712 : 231,104 = 231,104 : x
2. Step 2: Convert to fraction form
   105,712/231,104 = 231,104/x
3. Step 3: Cross multiply
   105,712x = 231,104 × 231,104
4. Step 4: Simplify right side
   105,712x = 53,409,058,816
5. Step 5: Solve for x
   x = 53,409,058,816/105,712
6. Step 6: Final answer
   x = 505,231.75