Finding the Third Proportional to 463.85 and 1,018.83

Step by Step Solution

1. Step 1: Write the proportion equation
   463.85 : 1,018.83 = 1,018.83 : x
2. Step 2: Convert to fraction form
   463.85/1,018.83 = 1,018.83/x
3. Step 3: Cross multiply
   463.85x = 1,018.83 × 1,018.83
4. Step 4: Simplify right side
   463.85x = 1,038,010.75
5. Step 5: Solve for x
   x = 1,038,010.75/463.85
6. Step 6: Final answer
   x = 2,237.81