Finding the Third Proportional to 419.50 and 615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419.50 : 615.50 = 615.50 : x
2. Step 2: Convert to fraction form
   419.50/615.50 = 615.50/x
3. Step 3: Cross multiply
   419.50x = 615.50 × 615.50
4. Step 4: Simplify right side
   419.50x = 378,840.25
5. Step 5: Solve for x
   x = 378,840.25/419.50
6. Step 6: Final answer
   x = 903.08