Finding the Third Proportional to 229,872 and 356,766

Step by Step Solution

1. Step 1: Write the proportion equation
   229,872 : 356,766 = 356,766 : x
2. Step 2: Convert to fraction form
   229,872/356,766 = 356,766/x
3. Step 3: Cross multiply
   229,872x = 356,766 × 356,766
4. Step 4: Simplify right side
   229,872x = 127,281,978,756
5. Step 5: Solve for x
   x = 127,281,978,756/229,872
6. Step 6: Final answer
   x = 553,708.06