Finding the Third Proportional to 171,592 and 258,648

Step by Step Solution

1. Step 1: Write the proportion equation
   171,592 : 258,648 = 258,648 : x
2. Step 2: Convert to fraction form
   171,592/258,648 = 258,648/x
3. Step 3: Cross multiply
   171,592x = 258,648 × 258,648
4. Step 4: Simplify right side
   171,592x = 66,898,787,904
5. Step 5: Solve for x
   x = 66,898,787,904/171,592
6. Step 6: Final answer
   x = 389,871.25