Finding the Third Proportional to 49,641 and 108,018

Step by Step Solution

1. Step 1: Write the proportion equation
   49,641 : 108,018 = 108,018 : x
2. Step 2: Convert to fraction form
   49,641/108,018 = 108,018/x
3. Step 3: Cross multiply
   49,641x = 108,018 × 108,018
4. Step 4: Simplify right side
   49,641x = 11,667,888,324
5. Step 5: Solve for x
   x = 11,667,888,324/49,641
6. Step 6: Final answer
   x = 235,045.39