Finding the Third Proportional to 49,722 and 108,189

Step by Step Solution

1. Step 1: Write the proportion equation
   49,722 : 108,189 = 108,189 : x
2. Step 2: Convert to fraction form
   49,722/108,189 = 108,189/x
3. Step 3: Cross multiply
   49,722x = 108,189 × 108,189
4. Step 4: Simplify right side
   49,722x = 11,704,859,721
5. Step 5: Solve for x
   x = 11,704,859,721/49,722
6. Step 6: Final answer
   x = 235,406.05