Finding the Third Proportional to 229,459 and 337,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,459 : 337,435.50 = 337,435.50 : x
2. Step 2: Convert to fraction form
   229,459/337,435.50 = 337,435.50/x
3. Step 3: Cross multiply
   229,459x = 337,435.50 × 337,435.50
4. Step 4: Simplify right side
   229,459x = 113,862,716,660.25
5. Step 5: Solve for x
   x = 113,862,716,660.25/229,459
6. Step 6: Final answer
   x = 496,222.49