Finding the Third Proportional to 419.50 and 1,015

Step by Step Solution

1. Step 1: Write the proportion equation
   419.50 : 1,015 = 1,015 : x
2. Step 2: Convert to fraction form
   419.50/1,015 = 1,015/x
3. Step 3: Cross multiply
   419.50x = 1,015 × 1,015
4. Step 4: Simplify right side
   419.50x = 1,030,225
5. Step 5: Solve for x
   x = 1,030,225/419.50
6. Step 6: Final answer
   x = 2,455.84