Finding the Third Proportional to 78.19 and 94.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78.19 : 94.50 = 94.50 : x
2. Step 2: Convert to fraction form
   78.19/94.50 = 94.50/x
3. Step 3: Cross multiply
   78.19x = 94.50 × 94.50
4. Step 4: Simplify right side
   78.19x = 8,930.25
5. Step 5: Solve for x
   x = 8,930.25/78.19
6. Step 6: Final answer
   x = 114.22