Finding the Third Proportional to 105,800 and 231,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,800 : 231,904 = 231,904 : x
2. Step 2: Convert to fraction form
   105,800/231,904 = 231,904/x
3. Step 3: Cross multiply
   105,800x = 231,904 × 231,904
4. Step 4: Simplify right side
   105,800x = 53,779,465,216
5. Step 5: Solve for x
   x = 53,779,465,216/105,800
6. Step 6: Final answer
   x = 508,312.53