Finding the Third Proportional to 431.89 and 796.39

Step by Step Solution

1. Step 1: Write the proportion equation
   431.89 : 796.39 = 796.39 : x
2. Step 2: Convert to fraction form
   431.89/796.39 = 796.39/x
3. Step 3: Cross multiply
   431.89x = 796.39 × 796.39
4. Step 4: Simplify right side
   431.89x = 634,244.25
5. Step 5: Solve for x
   x = 634,244.25/431.89
6. Step 6: Final answer
   x = 1,468.52