Finding the Third Proportional to 105,416 and 230,288

Step by Step Solution

1. Step 1: Write the proportion equation
   105,416 : 230,288 = 230,288 : x
2. Step 2: Convert to fraction form
   105,416/230,288 = 230,288/x
3. Step 3: Cross multiply
   105,416x = 230,288 × 230,288
4. Step 4: Simplify right side
   105,416x = 53,032,562,944
5. Step 5: Solve for x
   x = 53,032,562,944/105,416
6. Step 6: Final answer
   x = 503,078.88