Finding the Third Proportional to 114,120 and 231,696

Step by Step Solution

1. Step 1: Write the proportion equation
   114,120 : 231,696 = 231,696 : x
2. Step 2: Convert to fraction form
   114,120/231,696 = 231,696/x
3. Step 3: Cross multiply
   114,120x = 231,696 × 231,696
4. Step 4: Simplify right side
   114,120x = 53,683,036,416
5. Step 5: Solve for x
   x = 53,683,036,416/114,120
6. Step 6: Final answer
   x = 470,408.66