Finding the Third Proportional to 171,992 and 258,996

Step by Step Solution

1. Step 1: Write the proportion equation
   171,992 : 258,996 = 258,996 : x
2. Step 2: Convert to fraction form
   171,992/258,996 = 258,996/x
3. Step 3: Cross multiply
   171,992x = 258,996 × 258,996
4. Step 4: Simplify right side
   171,992x = 67,078,928,016
5. Step 5: Solve for x
   x = 67,078,928,016/171,992
6. Step 6: Final answer
   x = 390,011.91