Finding the Third Proportional to 105,156 and 229,736

Step by Step Solution

1. Step 1: Write the proportion equation
   105,156 : 229,736 = 229,736 : x
2. Step 2: Convert to fraction form
   105,156/229,736 = 229,736/x
3. Step 3: Cross multiply
   105,156x = 229,736 × 229,736
4. Step 4: Simplify right side
   105,156x = 52,778,629,696
5. Step 5: Solve for x
   x = 52,778,629,696/105,156
6. Step 6: Final answer
   x = 501,907.92