Finding the Third Proportional to 334.69 and 538.03

Step by Step Solution

1. Step 1: Write the proportion equation
   334.69 : 538.03 = 538.03 : x
2. Step 2: Convert to fraction form
   334.69/538.03 = 538.03/x
3. Step 3: Cross multiply
   334.69x = 538.03 × 538.03
4. Step 4: Simplify right side
   334.69x = 289,477.63
5. Step 5: Solve for x
   x = 289,477.63/334.69
6. Step 6: Final answer
   x = 864.92