Finding the Third Proportional to 310.82 and 418.82

Step by Step Solution

1. Step 1: Write the proportion equation
   310.82 : 418.82 = 418.82 : x
2. Step 2: Convert to fraction form
   310.82/418.82 = 418.82/x
3. Step 3: Cross multiply
   310.82x = 418.82 × 418.82
4. Step 4: Simplify right side
   310.82x = 175,407.18
5. Step 5: Solve for x
   x = 175,407.18/310.82
6. Step 6: Final answer
   x = 564.34