Finding the Third Proportional to 105,152 and 229,728

Step by Step Solution

1. Step 1: Write the proportion equation
   105,152 : 229,728 = 229,728 : x
2. Step 2: Convert to fraction form
   105,152/229,728 = 229,728/x
3. Step 3: Cross multiply
   105,152x = 229,728 × 229,728
4. Step 4: Simplify right side
   105,152x = 52,774,953,984
5. Step 5: Solve for x
   x = 52,774,953,984/105,152
6. Step 6: Final answer
   x = 501,892.06