Finding the Third Proportional to 105,764 and 229,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,764 : 229,960 = 229,960 : x
2. Step 2: Convert to fraction form
   105,764/229,960 = 229,960/x
3. Step 3: Cross multiply
   105,764x = 229,960 × 229,960
4. Step 4: Simplify right side
   105,764x = 52,881,601,600
5. Step 5: Solve for x
   x = 52,881,601,600/105,764
6. Step 6: Final answer
   x = 499,996.23