Finding the Third Proportional to 49,341 and 108,524

Step by Step Solution

1. Step 1: Write the proportion equation
   49,341 : 108,524 = 108,524 : x
2. Step 2: Convert to fraction form
   49,341/108,524 = 108,524/x
3. Step 3: Cross multiply
   49,341x = 108,524 × 108,524
4. Step 4: Simplify right side
   49,341x = 11,777,458,576
5. Step 5: Solve for x
   x = 11,777,458,576/49,341
6. Step 6: Final answer
   x = 238,695.17