Finding the Third Proportional to 49,514 and 108,059

Step by Step Solution

1. Step 1: Write the proportion equation
   49,514 : 108,059 = 108,059 : x
2. Step 2: Convert to fraction form
   49,514/108,059 = 108,059/x
3. Step 3: Cross multiply
   49,514x = 108,059 × 108,059
4. Step 4: Simplify right side
   49,514x = 11,676,747,481
5. Step 5: Solve for x
   x = 11,676,747,481/49,514
6. Step 6: Final answer
   x = 235,827.19