Finding the Third Proportional to 329.38 and 498.93

Step by Step Solution

1. Step 1: Write the proportion equation
   329.38 : 498.93 = 498.93 : x
2. Step 2: Convert to fraction form
   329.38/498.93 = 498.93/x
3. Step 3: Cross multiply
   329.38x = 498.93 × 498.93
4. Step 4: Simplify right side
   329.38x = 248,934.24
5. Step 5: Solve for x
   x = 248,934.24/329.38
6. Step 6: Final answer
   x = 755.77