Finding the Third Proportional to 498.38 and 599.63

Step by Step Solution

1. Step 1: Write the proportion equation
   498.38 : 599.63 = 599.63 : x
2. Step 2: Convert to fraction form
   498.38/599.63 = 599.63/x
3. Step 3: Cross multiply
   498.38x = 599.63 × 599.63
4. Step 4: Simplify right side
   498.38x = 359,550.14
5. Step 5: Solve for x
   x = 359,550.14/498.38
6. Step 6: Final answer
   x = 721.44