Finding the Third Proportional to 103,838 and 231,040

Step by Step Solution

1. Step 1: Write the proportion equation
   103,838 : 231,040 = 231,040 : x
2. Step 2: Convert to fraction form
   103,838/231,040 = 231,040/x
3. Step 3: Cross multiply
   103,838x = 231,040 × 231,040
4. Step 4: Simplify right side
   103,838x = 53,379,481,600
5. Step 5: Solve for x
   x = 53,379,481,600/103,838
6. Step 6: Final answer
   x = 514,065.00