Finding the Third Proportional to 172.50 and 179.25

Step by Step Solution

1. Step 1: Write the proportion equation
   172.50 : 179.25 = 179.25 : x
2. Step 2: Convert to fraction form
   172.50/179.25 = 179.25/x
3. Step 3: Cross multiply
   172.50x = 179.25 × 179.25
4. Step 4: Simplify right side
   172.50x = 32,130.56
5. Step 5: Solve for x
   x = 32,130.56/172.50
6. Step 6: Final answer
   x = 186.26