Finding the Third Proportional to 589.15 and 928.34

Step by Step Solution

1. Step 1: Write the proportion equation
   589.15 : 928.34 = 928.34 : x
2. Step 2: Convert to fraction form
   589.15/928.34 = 928.34/x
3. Step 3: Cross multiply
   589.15x = 928.34 × 928.34
4. Step 4: Simplify right side
   589.15x = 861,807.61
5. Step 5: Solve for x
   x = 861,807.61/589.15
6. Step 6: Final answer
   x = 1,462.80