Finding the Third Proportional to 229,644 and 337,662

Step by Step Solution

1. Step 1: Write the proportion equation
   229,644 : 337,662 = 337,662 : x
2. Step 2: Convert to fraction form
   229,644/337,662 = 337,662/x
3. Step 3: Cross multiply
   229,644x = 337,662 × 337,662
4. Step 4: Simplify right side
   229,644x = 114,015,626,244
5. Step 5: Solve for x
   x = 114,015,626,244/229,644
6. Step 6: Final answer
   x = 496,488.59