Finding the Third Proportional to 419.27 and 651.59

Step by Step Solution

1. Step 1: Write the proportion equation
   419.27 : 651.59 = 651.59 : x
2. Step 2: Convert to fraction form
   419.27/651.59 = 651.59/x
3. Step 3: Cross multiply
   419.27x = 651.59 × 651.59
4. Step 4: Simplify right side
   419.27x = 424,564.23
5. Step 5: Solve for x
   x = 424,564.23/419.27
6. Step 6: Final answer
   x = 1,012.62