Finding the Third Proportional to 105,956 and 231,596

Step by Step Solution

1. Step 1: Write the proportion equation
   105,956 : 231,596 = 231,596 : x
2. Step 2: Convert to fraction form
   105,956/231,596 = 231,596/x
3. Step 3: Cross multiply
   105,956x = 231,596 × 231,596
4. Step 4: Simplify right side
   105,956x = 53,636,707,216
5. Step 5: Solve for x
   x = 53,636,707,216/105,956
6. Step 6: Final answer
   x = 506,216.80