Finding the Third Proportional to 105,364 and 229,664

Step by Step Solution

1. Step 1: Write the proportion equation
   105,364 : 229,664 = 229,664 : x
2. Step 2: Convert to fraction form
   105,364/229,664 = 229,664/x
3. Step 3: Cross multiply
   105,364x = 229,664 × 229,664
4. Step 4: Simplify right side
   105,364x = 52,745,552,896
5. Step 5: Solve for x
   x = 52,745,552,896/105,364
6. Step 6: Final answer
   x = 500,603.17