Finding the Third Proportional to 171,592 and 260,886

Step by Step Solution

1. Step 1: Write the proportion equation
   171,592 : 260,886 = 260,886 : x
2. Step 2: Convert to fraction form
   171,592/260,886 = 260,886/x
3. Step 3: Cross multiply
   171,592x = 260,886 × 260,886
4. Step 4: Simplify right side
   171,592x = 68,061,504,996
5. Step 5: Solve for x
   x = 68,061,504,996/171,592
6. Step 6: Final answer
   x = 396,647.31