Finding the Third Proportional to 1,178.44 and 1,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.44 : 1,748.06 = 1,748.06 : x
2. Step 2: Convert to fraction form
   1,178.44/1,748.06 = 1,748.06/x
3. Step 3: Cross multiply
   1,178.44x = 1,748.06 × 1,748.06
4. Step 4: Simplify right side
   1,178.44x = 3,055,722.50
5. Step 5: Solve for x
   x = 3,055,722.50/1,178.44
6. Step 6: Final answer
   x = 2,593.03