Finding the Third Proportional to 229,336 and 337,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,336 : 337,262.50 = 337,262.50 : x
2. Step 2: Convert to fraction form
   229,336/337,262.50 = 337,262.50/x
3. Step 3: Cross multiply
   229,336x = 337,262.50 × 337,262.50
4. Step 4: Simplify right side
   229,336x = 113,745,993,906.25
5. Step 5: Solve for x
   x = 113,745,993,906.25/229,336
6. Step 6: Final answer
   x = 495,979.67