Finding the Third Proportional to 379.69 and 512.72

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 512.72 = 512.72 : x
2. Step 2: Convert to fraction form
   379.69/512.72 = 512.72/x
3. Step 3: Cross multiply
   379.69x = 512.72 × 512.72
4. Step 4: Simplify right side
   379.69x = 262,880.52
5. Step 5: Solve for x
   x = 262,880.52/379.69
6. Step 6: Final answer
   x = 692.36