Finding the Third Proportional to 258,096 and 567,072

Step by Step Solution

1. Step 1: Write the proportion equation
   258,096 : 567,072 = 567,072 : x
2. Step 2: Convert to fraction form
   258,096/567,072 = 567,072/x
3. Step 3: Cross multiply
   258,096x = 567,072 × 567,072
4. Step 4: Simplify right side
   258,096x = 321,570,653,184
5. Step 5: Solve for x
   x = 321,570,653,184/258,096
6. Step 6: Final answer
   x = 1,245,934.28