Finding the Third Proportional to 49,743 and 108,143

Step by Step Solution

1. Step 1: Write the proportion equation
   49,743 : 108,143 = 108,143 : x
2. Step 2: Convert to fraction form
   49,743/108,143 = 108,143/x
3. Step 3: Cross multiply
   49,743x = 108,143 × 108,143
4. Step 4: Simplify right side
   49,743x = 11,694,908,449
5. Step 5: Solve for x
   x = 11,694,908,449/49,743
6. Step 6: Final answer
   x = 235,106.62