Finding the Third Proportional to 114,111 and 231,678

Step by Step Solution

1. Step 1: Write the proportion equation
   114,111 : 231,678 = 231,678 : x
2. Step 2: Convert to fraction form
   114,111/231,678 = 231,678/x
3. Step 3: Cross multiply
   114,111x = 231,678 × 231,678
4. Step 4: Simplify right side
   114,111x = 53,674,695,684
5. Step 5: Solve for x
   x = 53,674,695,684/114,111
6. Step 6: Final answer
   x = 470,372.67