Finding the Third Proportional to 108,684 and 229,158

Step by Step Solution

1. Step 1: Write the proportion equation
   108,684 : 229,158 = 229,158 : x
2. Step 2: Convert to fraction form
   108,684/229,158 = 229,158/x
3. Step 3: Cross multiply
   108,684x = 229,158 × 229,158
4. Step 4: Simplify right side
   108,684x = 52,513,388,964
5. Step 5: Solve for x
   x = 52,513,388,964/108,684
6. Step 6: Final answer
   x = 483,174.97