Finding the Third Proportional to 105,503 and 231,016

Step by Step Solution

1. Step 1: Write the proportion equation
   105,503 : 231,016 = 231,016 : x
2. Step 2: Convert to fraction form
   105,503/231,016 = 231,016/x
3. Step 3: Cross multiply
   105,503x = 231,016 × 231,016
4. Step 4: Simplify right side
   105,503x = 53,368,392,256
5. Step 5: Solve for x
   x = 53,368,392,256/105,503
6. Step 6: Final answer
   x = 505,847.15