Finding the Third Proportional to 49,818 and 107,016

Step by Step Solution

1. Step 1: Write the proportion equation
   49,818 : 107,016 = 107,016 : x
2. Step 2: Convert to fraction form
   49,818/107,016 = 107,016/x
3. Step 3: Cross multiply
   49,818x = 107,016 × 107,016
4. Step 4: Simplify right side
   49,818x = 11,452,424,256
5. Step 5: Solve for x
   x = 11,452,424,256/49,818
6. Step 6: Final answer
   x = 229,885.27