Finding the Third Proportional to 1,180.83 and 1,659.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.83 : 1,659.23 = 1,659.23 : x
2. Step 2: Convert to fraction form
   1,180.83/1,659.23 = 1,659.23/x
3. Step 3: Cross multiply
   1,180.83x = 1,659.23 × 1,659.23
4. Step 4: Simplify right side
   1,180.83x = 2,753,058.71
5. Step 5: Solve for x
   x = 2,753,058.71/1,180.83
6. Step 6: Final answer
   x = 2,331.46