Finding the Third Proportional to 78.66 and 173.77

Step by Step Solution

1. Step 1: Write the proportion equation
   78.66 : 173.77 = 173.77 : x
2. Step 2: Convert to fraction form
   78.66/173.77 = 173.77/x
3. Step 3: Cross multiply
   78.66x = 173.77 × 173.77
4. Step 4: Simplify right side
   78.66x = 30,194.49
5. Step 5: Solve for x
   x = 30,194.49/78.66
6. Step 6: Final answer
   x = 383.88