Finding the Third Proportional to 171,790.50 and 259,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,790.50 : 259,567.50 = 259,567.50 : x
2. Step 2: Convert to fraction form
   171,790.50/259,567.50 = 259,567.50/x
3. Step 3: Cross multiply
   171,790.50x = 259,567.50 × 259,567.50
4. Step 4: Simplify right side
   171,790.50x = 67,375,287,056.25
5. Step 5: Solve for x
   x = 67,375,287,056.25/171,790.50
6. Step 6: Final answer
   x = 392,194.49