Finding the Third Proportional to 171,920 and 265,648

Step by Step Solution

1. Step 1: Write the proportion equation
   171,920 : 265,648 = 265,648 : x
2. Step 2: Convert to fraction form
   171,920/265,648 = 265,648/x
3. Step 3: Cross multiply
   171,920x = 265,648 × 265,648
4. Step 4: Simplify right side
   171,920x = 70,568,859,904
5. Step 5: Solve for x
   x = 70,568,859,904/171,920
6. Step 6: Final answer
   x = 410,474.99