Finding the Third Proportional to 171,976.50 and 260,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   171,976.50 : 260,561.25 = 260,561.25 : x
2. Step 2: Convert to fraction form
   171,976.50/260,561.25 = 260,561.25/x
3. Step 3: Cross multiply
   171,976.50x = 260,561.25 × 260,561.25
4. Step 4: Simplify right side
   171,976.50x = 67,892,165,001.56
5. Step 5: Solve for x
   x = 67,892,165,001.56/171,976.50
6. Step 6: Final answer
   x = 394,775.83