Finding the Third Proportional to 252.78 and 377.59

Step by Step Solution

1. Step 1: Write the proportion equation
   252.78 : 377.59 = 377.59 : x
2. Step 2: Convert to fraction form
   252.78/377.59 = 377.59/x
3. Step 3: Cross multiply
   252.78x = 377.59 × 377.59
4. Step 4: Simplify right side
   252.78x = 142,577.04
5. Step 5: Solve for x
   x = 142,577.04/252.78
6. Step 6: Final answer
   x = 564.03