Finding the Third Proportional to 377.37 and 552.52

Step by Step Solution

1. Step 1: Write the proportion equation
   377.37 : 552.52 = 552.52 : x
2. Step 2: Convert to fraction form
   377.37/552.52 = 552.52/x
3. Step 3: Cross multiply
   377.37x = 552.52 × 552.52
4. Step 4: Simplify right side
   377.37x = 305,273.52
5. Step 5: Solve for x
   x = 305,273.52/377.37
6. Step 6: Final answer
   x = 808.96