Finding the Third Proportional to 229,338 and 337,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   229,338 : 337,265.50 = 337,265.50 : x
2. Step 2: Convert to fraction form
   229,338/337,265.50 = 337,265.50/x
3. Step 3: Cross multiply
   229,338x = 337,265.50 × 337,265.50
4. Step 4: Simplify right side
   229,338x = 113,748,017,490.25
5. Step 5: Solve for x
   x = 113,748,017,490.25/229,338
6. Step 6: Final answer
   x = 495,984.17