Finding the Third Proportional to 172.50 and 405.38

Step by Step Solution

1. Step 1: Write the proportion equation
   172.50 : 405.38 = 405.38 : x
2. Step 2: Convert to fraction form
   172.50/405.38 = 405.38/x
3. Step 3: Cross multiply
   172.50x = 405.38 × 405.38
4. Step 4: Simplify right side
   172.50x = 164,328.89
5. Step 5: Solve for x
   x = 164,328.89/172.50
6. Step 6: Final answer
   x = 952.63