Finding the Third Proportional to 229,655 and 337,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,655 : 337,678.50 = 337,678.50 : x
2. Step 2: Convert to fraction form
   229,655/337,678.50 = 337,678.50/x
3. Step 3: Cross multiply
   229,655x = 337,678.50 × 337,678.50
4. Step 4: Simplify right side
   229,655x = 114,026,769,362.25
5. Step 5: Solve for x
   x = 114,026,769,362.25/229,655
6. Step 6: Final answer
   x = 496,513.33