Finding the Third Proportional to 1,180.50 and 1,789.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.50 : 1,789.13 = 1,789.13 : x
2. Step 2: Convert to fraction form
   1,180.50/1,789.13 = 1,789.13/x
3. Step 3: Cross multiply
   1,180.50x = 1,789.13 × 1,789.13
4. Step 4: Simplify right side
   1,180.50x = 3,200,968.27
5. Step 5: Solve for x
   x = 3,200,968.27/1,180.50
6. Step 6: Final answer
   x = 2,711.54