Finding the Third Proportional to 229,634 and 362,055

Step by Step Solution

1. Step 1: Write the proportion equation
   229,634 : 362,055 = 362,055 : x
2. Step 2: Convert to fraction form
   229,634/362,055 = 362,055/x
3. Step 3: Cross multiply
   229,634x = 362,055 × 362,055
4. Step 4: Simplify right side
   229,634x = 131,083,823,025
5. Step 5: Solve for x
   x = 131,083,823,025/229,634
6. Step 6: Final answer
   x = 570,838.04