Finding the Third Proportional to 229,653 and 337,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,653 : 337,675.50 = 337,675.50 : x
2. Step 2: Convert to fraction form
   229,653/337,675.50 = 337,675.50/x
3. Step 3: Cross multiply
   229,653x = 337,675.50 × 337,675.50
4. Step 4: Simplify right side
   229,653x = 114,024,743,300.25
5. Step 5: Solve for x
   x = 114,024,743,300.25/229,653
6. Step 6: Final answer
   x = 496,508.83