Finding the Third Proportional to 229,797 and 343,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,797 : 343,318.50 = 343,318.50 : x
2. Step 2: Convert to fraction form
   229,797/343,318.50 = 343,318.50/x
3. Step 3: Cross multiply
   229,797x = 343,318.50 × 343,318.50
4. Step 4: Simplify right side
   229,797x = 117,867,592,442.25
5. Step 5: Solve for x
   x = 117,867,592,442.25/229,797
6. Step 6: Final answer
   x = 512,920.50