Finding the Third Proportional to 117.38 and 228.56

Step by Step Solution

1. Step 1: Write the proportion equation
   117.38 : 228.56 = 228.56 : x
2. Step 2: Convert to fraction form
   117.38/228.56 = 228.56/x
3. Step 3: Cross multiply
   117.38x = 228.56 × 228.56
4. Step 4: Simplify right side
   117.38x = 52,240.82
5. Step 5: Solve for x
   x = 52,240.82/117.38
6. Step 6: Final answer
   x = 445.08