Finding the Third Proportional to 420.50 and 1,016

Step by Step Solution

1. Step 1: Write the proportion equation
   420.50 : 1,016 = 1,016 : x
2. Step 2: Convert to fraction form
   420.50/1,016 = 1,016/x
3. Step 3: Cross multiply
   420.50x = 1,016 × 1,016
4. Step 4: Simplify right side
   420.50x = 1,032,256
5. Step 5: Solve for x
   x = 1,032,256/420.50
6. Step 6: Final answer
   x = 2,454.83