Finding the Third Proportional to 82.41 and 178.03

Step by Step Solution

1. Step 1: Write the proportion equation
   82.41 : 178.03 = 178.03 : x
2. Step 2: Convert to fraction form
   82.41/178.03 = 178.03/x
3. Step 3: Cross multiply
   82.41x = 178.03 × 178.03
4. Step 4: Simplify right side
   82.41x = 31,695.13
5. Step 5: Solve for x
   x = 31,695.13/82.41
6. Step 6: Final answer
   x = 384.62