Finding the Third Proportional to 171,040 and 264,864

Step by Step Solution

1. Step 1: Write the proportion equation
   171,040 : 264,864 = 264,864 : x
2. Step 2: Convert to fraction form
   171,040/264,864 = 264,864/x
3. Step 3: Cross multiply
   171,040x = 264,864 × 264,864
4. Step 4: Simplify right side
   171,040x = 70,152,938,496
5. Step 5: Solve for x
   x = 70,152,938,496/171,040
6. Step 6: Final answer
   x = 410,155.16