Finding the Third Proportional to 111,510 and 230,742

Step by Step Solution

1. Step 1: Write the proportion equation
   111,510 : 230,742 = 230,742 : x
2. Step 2: Convert to fraction form
   111,510/230,742 = 230,742/x
3. Step 3: Cross multiply
   111,510x = 230,742 × 230,742
4. Step 4: Simplify right side
   111,510x = 53,241,870,564
5. Step 5: Solve for x
   x = 53,241,870,564/111,510
6. Step 6: Final answer
   x = 477,462.74