Finding the Third Proportional to 105,165 and 230,742

Step by Step Solution

1. Step 1: Write the proportion equation
   105,165 : 230,742 = 230,742 : x
2. Step 2: Convert to fraction form
   105,165/230,742 = 230,742/x
3. Step 3: Cross multiply
   105,165x = 230,742 × 230,742
4. Step 4: Simplify right side
   105,165x = 53,241,870,564
5. Step 5: Solve for x
   x = 53,241,870,564/105,165
6. Step 6: Final answer
   x = 506,269.87