Finding the Third Proportional to 171,790.50 and 259,569

Step by Step Solution

1. Step 1: Write the proportion equation
   171,790.50 : 259,569 = 259,569 : x
2. Step 2: Convert to fraction form
   171,790.50/259,569 = 259,569/x
3. Step 3: Cross multiply
   171,790.50x = 259,569 × 259,569
4. Step 4: Simplify right side
   171,790.50x = 67,376,065,761
5. Step 5: Solve for x
   x = 67,376,065,761/171,790.50
6. Step 6: Final answer
   x = 392,199.02