Finding the Third Proportional to 78.88 and 122.63

Step by Step Solution

1. Step 1: Write the proportion equation
   78.88 : 122.63 = 122.63 : x
2. Step 2: Convert to fraction form
   78.88/122.63 = 122.63/x
3. Step 3: Cross multiply
   78.88x = 122.63 × 122.63
4. Step 4: Simplify right side
   78.88x = 15,036.89
5. Step 5: Solve for x
   x = 15,036.89/78.88
6. Step 6: Final answer
   x = 190.64