Finding the Third Proportional to 149.50 and 172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   149.50 : 172.25 = 172.25 : x
2. Step 2: Convert to fraction form
   149.50/172.25 = 172.25/x
3. Step 3: Cross multiply
   149.50x = 172.25 × 172.25
4. Step 4: Simplify right side
   149.50x = 29,670.06
5. Step 5: Solve for x
   x = 29,670.06/149.50
6. Step 6: Final answer
   x = 198.46