Finding the Third Proportional to 49,644 and 108,042

Step by Step Solution

1. Step 1: Write the proportion equation
   49,644 : 108,042 = 108,042 : x
2. Step 2: Convert to fraction form
   49,644/108,042 = 108,042/x
3. Step 3: Cross multiply
   49,644x = 108,042 × 108,042
4. Step 4: Simplify right side
   49,644x = 11,673,073,764
5. Step 5: Solve for x
   x = 11,673,073,764/49,644
6. Step 6: Final answer
   x = 235,135.64