Finding the Third Proportional to 178.45 and 275.27

Step by Step Solution

1. Step 1: Write the proportion equation
   178.45 : 275.27 = 275.27 : x
2. Step 2: Convert to fraction form
   178.45/275.27 = 275.27/x
3. Step 3: Cross multiply
   178.45x = 275.27 × 275.27
4. Step 4: Simplify right side
   178.45x = 75,775.47
5. Step 5: Solve for x
   x = 75,775.47/178.45
6. Step 6: Final answer
   x = 424.62