Finding the Third Proportional to 498.38 and 1,072.13

Step by Step Solution

1. Step 1: Write the proportion equation
   498.38 : 1,072.13 = 1,072.13 : x
2. Step 2: Convert to fraction form
   498.38/1,072.13 = 1,072.13/x
3. Step 3: Cross multiply
   498.38x = 1,072.13 × 1,072.13
4. Step 4: Simplify right side
   498.38x = 1,149,452.02
5. Step 5: Solve for x
   x = 1,149,452.02/498.38
6. Step 6: Final answer
   x = 2,306.40