Finding the Third Proportional to 83.20 and 178.45

Step by Step Solution

1. Step 1: Write the proportion equation
   83.20 : 178.45 = 178.45 : x
2. Step 2: Convert to fraction form
   83.20/178.45 = 178.45/x
3. Step 3: Cross multiply
   83.20x = 178.45 × 178.45
4. Step 4: Simplify right side
   83.20x = 31,845.52
5. Step 5: Solve for x
   x = 31,845.52/83.20
6. Step 6: Final answer
   x = 382.74