Finding the Third Proportional to 109,874 and 210,996

Step by Step Solution

1. Step 1: Write the proportion equation
   109,874 : 210,996 = 210,996 : x
2. Step 2: Convert to fraction form
   109,874/210,996 = 210,996/x
3. Step 3: Cross multiply
   109,874x = 210,996 × 210,996
4. Step 4: Simplify right side
   109,874x = 44,519,312,016
5. Step 5: Solve for x
   x = 44,519,312,016/109,874
6. Step 6: Final answer
   x = 405,185.14