Finding the Third Proportional to 107,646 and 230,016

Step by Step Solution

1. Step 1: Write the proportion equation
   107,646 : 230,016 = 230,016 : x
2. Step 2: Convert to fraction form
   107,646/230,016 = 230,016/x
3. Step 3: Cross multiply
   107,646x = 230,016 × 230,016
4. Step 4: Simplify right side
   107,646x = 52,907,360,256
5. Step 5: Solve for x
   x = 52,907,360,256/107,646
6. Step 6: Final answer
   x = 491,493.97