Finding the Third Proportional to 379.69 and 556.69

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 556.69 = 556.69 : x
2. Step 2: Convert to fraction form
   379.69/556.69 = 556.69/x
3. Step 3: Cross multiply
   379.69x = 556.69 × 556.69
4. Step 4: Simplify right side
   379.69x = 309,900.97
5. Step 5: Solve for x
   x = 309,900.97/379.69
6. Step 6: Final answer
   x = 816.20