Finding the Third Proportional to 171,753.75 and 259,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,753.75 : 259,510.50 = 259,510.50 : x
2. Step 2: Convert to fraction form
   171,753.75/259,510.50 = 259,510.50/x
3. Step 3: Cross multiply
   171,753.75x = 259,510.50 × 259,510.50
4. Step 4: Simplify right side
   171,753.75x = 67,345,699,610.25
5. Step 5: Solve for x
   x = 67,345,699,610.25/171,753.75
6. Step 6: Final answer
   x = 392,106.14