Finding the Third Proportional to 419.50 and 616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   419.50 : 616.75 = 616.75 : x
2. Step 2: Convert to fraction form
   419.50/616.75 = 616.75/x
3. Step 3: Cross multiply
   419.50x = 616.75 × 616.75
4. Step 4: Simplify right side
   419.50x = 380,380.56
5. Step 5: Solve for x
   x = 380,380.56/419.50
6. Step 6: Final answer
   x = 906.75