Finding the Third Proportional to 218.32 and 472.82

Step by Step Solution

1. Step 1: Write the proportion equation
   218.32 : 472.82 = 472.82 : x
2. Step 2: Convert to fraction form
   218.32/472.82 = 472.82/x
3. Step 3: Cross multiply
   218.32x = 472.82 × 472.82
4. Step 4: Simplify right side
   218.32x = 223,555.35
5. Step 5: Solve for x
   x = 223,555.35/218.32
6. Step 6: Final answer
   x = 1,023.98