Finding the Third Proportional to 582.05 and 1,194.89

Step by Step Solution

1. Step 1: Write the proportion equation
   582.05 : 1,194.89 = 1,194.89 : x
2. Step 2: Convert to fraction form
   582.05/1,194.89 = 1,194.89/x
3. Step 3: Cross multiply
   582.05x = 1,194.89 × 1,194.89
4. Step 4: Simplify right side
   582.05x = 1,427,763.61
5. Step 5: Solve for x
   x = 1,427,763.61/582.05
6. Step 6: Final answer
   x = 2,453.00