Finding the Third Proportional to 105,762 and 229,956

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 229,956 = 229,956 : x
2. Step 2: Convert to fraction form
   105,762/229,956 = 229,956/x
3. Step 3: Cross multiply
   105,762x = 229,956 × 229,956
4. Step 4: Simplify right side
   105,762x = 52,879,761,936
5. Step 5: Solve for x
   x = 52,879,761,936/105,762
6. Step 6: Final answer
   x = 499,988.29