Finding the Third Proportional to 105,516 and 231,768

Step by Step Solution

1. Step 1: Write the proportion equation
   105,516 : 231,768 = 231,768 : x
2. Step 2: Convert to fraction form
   105,516/231,768 = 231,768/x
3. Step 3: Cross multiply
   105,516x = 231,768 × 231,768
4. Step 4: Simplify right side
   105,516x = 53,716,405,824
5. Step 5: Solve for x
   x = 53,716,405,824/105,516
6. Step 6: Final answer
   x = 509,083.04