Finding the Third Proportional to 48,714 and 104,016

Step by Step Solution

1. Step 1: Write the proportion equation
   48,714 : 104,016 = 104,016 : x
2. Step 2: Convert to fraction form
   48,714/104,016 = 104,016/x
3. Step 3: Cross multiply
   48,714x = 104,016 × 104,016
4. Step 4: Simplify right side
   48,714x = 10,819,328,256
5. Step 5: Solve for x
   x = 10,819,328,256/48,714
6. Step 6: Final answer
   x = 222,098.95