Finding the Third Proportional to 78.88 and 172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.88 : 172.25 = 172.25 : x
2. Step 2: Convert to fraction form
   78.88/172.25 = 172.25/x
3. Step 3: Cross multiply
   78.88x = 172.25 × 172.25
4. Step 4: Simplify right side
   78.88x = 29,670.06
5. Step 5: Solve for x
   x = 29,670.06/78.88
6. Step 6: Final answer
   x = 376.17