Finding the Third Proportional to 278.06 and 360.56

Step by Step Solution

1. Step 1: Write the proportion equation
   278.06 : 360.56 = 360.56 : x
2. Step 2: Convert to fraction form
   278.06/360.56 = 360.56/x
3. Step 3: Cross multiply
   278.06x = 360.56 × 360.56
4. Step 4: Simplify right side
   278.06x = 130,005.32
5. Step 5: Solve for x
   x = 130,005.32/278.06
6. Step 6: Final answer
   x = 467.54