Finding the Third Proportional to 101,016 and 212,682

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 212,682 = 212,682 : x
2. Step 2: Convert to fraction form
   101,016/212,682 = 212,682/x
3. Step 3: Cross multiply
   101,016x = 212,682 × 212,682
4. Step 4: Simplify right side
   101,016x = 45,233,633,124
5. Step 5: Solve for x
   x = 45,233,633,124/101,016
6. Step 6: Final answer
   x = 447,786.82