Finding the Third Proportional to 329.81 and 514.78

Step by Step Solution

1. Step 1: Write the proportion equation
   329.81 : 514.78 = 514.78 : x
2. Step 2: Convert to fraction form
   329.81/514.78 = 514.78/x
3. Step 3: Cross multiply
   329.81x = 514.78 × 514.78
4. Step 4: Simplify right side
   329.81x = 264,999.74
5. Step 5: Solve for x
   x = 264,999.74/329.81
6. Step 6: Final answer
   x = 803.49