Finding the Third Proportional to 172.50 and 263.25

Step by Step Solution

1. Step 1: Write the proportion equation
   172.50 : 263.25 = 263.25 : x
2. Step 2: Convert to fraction form
   172.50/263.25 = 263.25/x
3. Step 3: Cross multiply
   172.50x = 263.25 × 263.25
4. Step 4: Simplify right side
   172.50x = 69,300.56
5. Step 5: Solve for x
   x = 69,300.56/172.50
6. Step 6: Final answer
   x = 401.74