Finding the Third Proportional to 171,764 and 259,530

Step by Step Solution

1. Step 1: Write the proportion equation
   171,764 : 259,530 = 259,530 : x
2. Step 2: Convert to fraction form
   171,764/259,530 = 259,530/x
3. Step 3: Cross multiply
   171,764x = 259,530 × 259,530
4. Step 4: Simplify right side
   171,764x = 67,355,820,900
5. Step 5: Solve for x
   x = 67,355,820,900/171,764
6. Step 6: Final answer
   x = 392,141.66