Finding the Third Proportional to 1,178.72 and 2,327.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.72 : 2,327.91 = 2,327.91 : x
2. Step 2: Convert to fraction form
   1,178.72/2,327.91 = 2,327.91/x
3. Step 3: Cross multiply
   1,178.72x = 2,327.91 × 2,327.91
4. Step 4: Simplify right side
   1,178.72x = 5,419,147.51
5. Step 5: Solve for x
   x = 5,419,147.51/1,178.72
6. Step 6: Final answer
   x = 4,597.49