Finding the Third Proportional to 210,844 and 461,016

Step by Step Solution

1. Step 1: Write the proportion equation
   210,844 : 461,016 = 461,016 : x
2. Step 2: Convert to fraction form
   210,844/461,016 = 461,016/x
3. Step 3: Cross multiply
   210,844x = 461,016 × 461,016
4. Step 4: Simplify right side
   210,844x = 212,535,752,256
5. Step 5: Solve for x
   x = 212,535,752,256/210,844
6. Step 6: Final answer
   x = 1,008,023.72