Finding the Third Proportional to 178 and 377.38

Step by Step Solution

1. Step 1: Write the proportion equation
   178 : 377.38 = 377.38 : x
2. Step 2: Convert to fraction form
   178/377.38 = 377.38/x
3. Step 3: Cross multiply
   178x = 377.38 × 377.38
4. Step 4: Simplify right side
   178x = 142,411.89
5. Step 5: Solve for x
   x = 142,411.89/178
6. Step 6: Final answer
   x = 800.07