Finding the Third Proportional to 464.81 and 1,019.06

Step by Step Solution

1. Step 1: Write the proportion equation
   464.81 : 1,019.06 = 1,019.06 : x
2. Step 2: Convert to fraction form
   464.81/1,019.06 = 1,019.06/x
3. Step 3: Cross multiply
   464.81x = 1,019.06 × 1,019.06
4. Step 4: Simplify right side
   464.81x = 1,038,488.38
5. Step 5: Solve for x
   x = 1,038,488.38/464.81
6. Step 6: Final answer
   x = 2,234.21