Finding the Third Proportional to 499.31 and 1,023.56

Step by Step Solution

1. Step 1: Write the proportion equation
   499.31 : 1,023.56 = 1,023.56 : x
2. Step 2: Convert to fraction form
   499.31/1,023.56 = 1,023.56/x
3. Step 3: Cross multiply
   499.31x = 1,023.56 × 1,023.56
4. Step 4: Simplify right side
   499.31x = 1,047,680.19
5. Step 5: Solve for x
   x = 1,047,680.19/499.31
6. Step 6: Final answer
   x = 2,098.25