Finding the Third Proportional to 78.75 and 123.19

Step by Step Solution

1. Step 1: Write the proportion equation
   78.75 : 123.19 = 123.19 : x
2. Step 2: Convert to fraction form
   78.75/123.19 = 123.19/x
3. Step 3: Cross multiply
   78.75x = 123.19 × 123.19
4. Step 4: Simplify right side
   78.75x = 15,175.16
5. Step 5: Solve for x
   x = 15,175.16/78.75
6. Step 6: Final answer
   x = 192.70