Finding the Third Proportional to 540.61 and 1,178.53

Step by Step Solution

1. Step 1: Write the proportion equation
   540.61 : 1,178.53 = 1,178.53 : x
2. Step 2: Convert to fraction form
   540.61/1,178.53 = 1,178.53/x
3. Step 3: Cross multiply
   540.61x = 1,178.53 × 1,178.53
4. Step 4: Simplify right side
   540.61x = 1,388,931.16
5. Step 5: Solve for x
   x = 1,388,931.16/540.61
6. Step 6: Final answer
   x = 2,569.19