Finding the Third Proportional to 123.19 and 172.23

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 172.23 = 172.23 : x
2. Step 2: Convert to fraction form
   123.19/172.23 = 172.23/x
3. Step 3: Cross multiply
   123.19x = 172.23 × 172.23
4. Step 4: Simplify right side
   123.19x = 29,663.33
5. Step 5: Solve for x
   x = 29,663.33/123.19
6. Step 6: Final answer
   x = 240.80