Finding the Third Proportional to 171,355 and 256,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,355 : 256,024.50 = 256,024.50 : x
2. Step 2: Convert to fraction form
   171,355/256,024.50 = 256,024.50/x
3. Step 3: Cross multiply
   171,355x = 256,024.50 × 256,024.50
4. Step 4: Simplify right side
   171,355x = 65,548,544,600.25
5. Step 5: Solve for x
   x = 65,548,544,600.25/171,355
6. Step 6: Final answer
   x = 382,530.68