Finding the Third Proportional to 103,824 and 231,012

Step by Step Solution

1. Step 1: Write the proportion equation
   103,824 : 231,012 = 231,012 : x
2. Step 2: Convert to fraction form
   103,824/231,012 = 231,012/x
3. Step 3: Cross multiply
   103,824x = 231,012 × 231,012
4. Step 4: Simplify right side
   103,824x = 53,366,544,144
5. Step 5: Solve for x
   x = 53,366,544,144/103,824
6. Step 6: Final answer
   x = 514,009.71