Finding the Third Proportional to 538.88 and 786.38

Step by Step Solution

1. Step 1: Write the proportion equation
   538.88 : 786.38 = 786.38 : x
2. Step 2: Convert to fraction form
   538.88/786.38 = 786.38/x
3. Step 3: Cross multiply
   538.88x = 786.38 × 786.38
4. Step 4: Simplify right side
   538.88x = 618,385.64
5. Step 5: Solve for x
   x = 618,385.64/538.88
6. Step 6: Final answer
   x = 1,147.55