Finding the Third Proportional to 541.58 and 1,168.59

Step by Step Solution

1. Step 1: Write the proportion equation
   541.58 : 1,168.59 = 1,168.59 : x
2. Step 2: Convert to fraction form
   541.58/1,168.59 = 1,168.59/x
3. Step 3: Cross multiply
   541.58x = 1,168.59 × 1,168.59
4. Step 4: Simplify right side
   541.58x = 1,365,611.35
5. Step 5: Solve for x
   x = 1,365,611.35/541.58
6. Step 6: Final answer
   x = 2,521.52