Finding the Third Proportional to 229,627 and 362,048

Step by Step Solution

1. Step 1: Write the proportion equation
   229,627 : 362,048 = 362,048 : x
2. Step 2: Convert to fraction form
   229,627/362,048 = 362,048/x
3. Step 3: Cross multiply
   229,627x = 362,048 × 362,048
4. Step 4: Simplify right side
   229,627x = 131,078,754,304
5. Step 5: Solve for x
   x = 131,078,754,304/229,627
6. Step 6: Final answer
   x = 570,833.37