Finding the Third Proportional to 105,136 and 229,696

Step by Step Solution

1. Step 1: Write the proportion equation
   105,136 : 229,696 = 229,696 : x
2. Step 2: Convert to fraction form
   105,136/229,696 = 229,696/x
3. Step 3: Cross multiply
   105,136x = 229,696 × 229,696
4. Step 4: Simplify right side
   105,136x = 52,760,252,416
5. Step 5: Solve for x
   x = 52,760,252,416/105,136
6. Step 6: Final answer
   x = 501,828.61