Finding the Third Proportional to 49,418 and 108,678

Step by Step Solution

1. Step 1: Write the proportion equation
   49,418 : 108,678 = 108,678 : x
2. Step 2: Convert to fraction form
   49,418/108,678 = 108,678/x
3. Step 3: Cross multiply
   49,418x = 108,678 × 108,678
4. Step 4: Simplify right side
   49,418x = 11,810,907,684
5. Step 5: Solve for x
   x = 11,810,907,684/49,418
6. Step 6: Final answer
   x = 239,000.12