Finding the Third Proportional to 229,020 and 491,952

Step by Step Solution

1. Step 1: Write the proportion equation
   229,020 : 491,952 = 491,952 : x
2. Step 2: Convert to fraction form
   229,020/491,952 = 491,952/x
3. Step 3: Cross multiply
   229,020x = 491,952 × 491,952
4. Step 4: Simplify right side
   229,020x = 242,016,770,304
5. Step 5: Solve for x
   x = 242,016,770,304/229,020
6. Step 6: Final answer
   x = 1,056,749.50