Finding the Third Proportional to 171,777 and 259,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,777 : 259,549.50 = 259,549.50 : x
2. Step 2: Convert to fraction form
   171,777/259,549.50 = 259,549.50/x
3. Step 3: Cross multiply
   171,777x = 259,549.50 × 259,549.50
4. Step 4: Simplify right side
   171,777x = 67,365,942,950.25
5. Step 5: Solve for x
   x = 67,365,942,950.25/171,777
6. Step 6: Final answer
   x = 392,170.91