Finding the Third Proportional to 549 and 1,196.58

Step by Step Solution

1. Step 1: Write the proportion equation
   549 : 1,196.58 = 1,196.58 : x
2. Step 2: Convert to fraction form
   549/1,196.58 = 1,196.58/x
3. Step 3: Cross multiply
   549x = 1,196.58 × 1,196.58
4. Step 4: Simplify right side
   549x = 1,431,799.21
5. Step 5: Solve for x
   x = 1,431,799.21/549
6. Step 6: Final answer
   x = 2,608.01