Finding the Third Proportional to 540.98 and 1,176.89

Step by Step Solution

1. Step 1: Write the proportion equation
   540.98 : 1,176.89 = 1,176.89 : x
2. Step 2: Convert to fraction form
   540.98/1,176.89 = 1,176.89/x
3. Step 3: Cross multiply
   540.98x = 1,176.89 × 1,176.89
4. Step 4: Simplify right side
   540.98x = 1,385,071.54
5. Step 5: Solve for x
   x = 1,385,071.54/540.98
6. Step 6: Final answer
   x = 2,560.28