Finding the Third Proportional to 109,530 and 236,538

Step by Step Solution

1. Step 1: Write the proportion equation
   109,530 : 236,538 = 236,538 : x
2. Step 2: Convert to fraction form
   109,530/236,538 = 236,538/x
3. Step 3: Cross multiply
   109,530x = 236,538 × 236,538
4. Step 4: Simplify right side
   109,530x = 55,950,225,444
5. Step 5: Solve for x
   x = 55,950,225,444/109,530
6. Step 6: Final answer
   x = 510,821.01