Finding the Third Proportional to 96,238 and 231,846

Step by Step Solution

1. Step 1: Write the proportion equation
   96,238 : 231,846 = 231,846 : x
2. Step 2: Convert to fraction form
   96,238/231,846 = 231,846/x
3. Step 3: Cross multiply
   96,238x = 231,846 × 231,846
4. Step 4: Simplify right side
   96,238x = 53,752,567,716
5. Step 5: Solve for x
   x = 53,752,567,716/96,238
6. Step 6: Final answer
   x = 558,537.87