Finding the Third Proportional to 172.50 and 256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172.50 : 256.50 = 256.50 : x
2. Step 2: Convert to fraction form
   172.50/256.50 = 256.50/x
3. Step 3: Cross multiply
   172.50x = 256.50 × 256.50
4. Step 4: Simplify right side
   172.50x = 65,792.25
5. Step 5: Solve for x
   x = 65,792.25/172.50
6. Step 6: Final answer
   x = 381.40