Finding the Third Proportional to 103,684 and 229,256

Step by Step Solution

1. Step 1: Write the proportion equation
   103,684 : 229,256 = 229,256 : x
2. Step 2: Convert to fraction form
   103,684/229,256 = 229,256/x
3. Step 3: Cross multiply
   103,684x = 229,256 × 229,256
4. Step 4: Simplify right side
   103,684x = 52,558,313,536
5. Step 5: Solve for x
   x = 52,558,313,536/103,684
6. Step 6: Final answer
   x = 506,908.62