Finding the Third Proportional to 111,408 and 230,196

Step by Step Solution

1. Step 1: Write the proportion equation
   111,408 : 230,196 = 230,196 : x
2. Step 2: Convert to fraction form
   111,408/230,196 = 230,196/x
3. Step 3: Cross multiply
   111,408x = 230,196 × 230,196
4. Step 4: Simplify right side
   111,408x = 52,990,198,416
5. Step 5: Solve for x
   x = 52,990,198,416/111,408
6. Step 6: Final answer
   x = 475,640.87