Finding the Third Proportional to 49,984 and 110,016

Step by Step Solution

1. Step 1: Write the proportion equation
   49,984 : 110,016 = 110,016 : x
2. Step 2: Convert to fraction form
   49,984/110,016 = 110,016/x
3. Step 3: Cross multiply
   49,984x = 110,016 × 110,016
4. Step 4: Simplify right side
   49,984x = 12,103,520,256
5. Step 5: Solve for x
   x = 12,103,520,256/49,984
6. Step 6: Final answer
   x = 242,147.89