Finding the Third Proportional to 419.34 and 919.69

Step by Step Solution

1. Step 1: Write the proportion equation
   419.34 : 919.69 = 919.69 : x
2. Step 2: Convert to fraction form
   419.34/919.69 = 919.69/x
3. Step 3: Cross multiply
   419.34x = 919.69 × 919.69
4. Step 4: Simplify right side
   419.34x = 845,825.10
5. Step 5: Solve for x
   x = 845,825.10/419.34
6. Step 6: Final answer
   x = 2,017.02