Finding the Third Proportional to 105,336 and 229,608

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336 : 229,608 = 229,608 : x
2. Step 2: Convert to fraction form
   105,336/229,608 = 229,608/x
3. Step 3: Cross multiply
   105,336x = 229,608 × 229,608
4. Step 4: Simplify right side
   105,336x = 52,719,833,664
5. Step 5: Solve for x
   x = 52,719,833,664/105,336
6. Step 6: Final answer
   x = 500,492.08