Finding the Third Proportional to 229,944 and 343,500

Step by Step Solution

1. Step 1: Write the proportion equation
   229,944 : 343,500 = 343,500 : x
2. Step 2: Convert to fraction form
   229,944/343,500 = 343,500/x
3. Step 3: Cross multiply
   229,944x = 343,500 × 343,500
4. Step 4: Simplify right side
   229,944x = 117,992,250,000
5. Step 5: Solve for x
   x = 117,992,250,000/229,944
6. Step 6: Final answer
   x = 513,134.72