Finding the Third Proportional to 275.91 and 379.27

Step by Step Solution

1. Step 1: Write the proportion equation
   275.91 : 379.27 = 379.27 : x
2. Step 2: Convert to fraction form
   275.91/379.27 = 379.27/x
3. Step 3: Cross multiply
   275.91x = 379.27 × 379.27
4. Step 4: Simplify right side
   275.91x = 143,842.41
5. Step 5: Solve for x
   x = 143,842.41/275.91
6. Step 6: Final answer
   x = 521.35