Finding the Third Proportional to 789.50 and 1,194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   789.50 : 1,194.25 = 1,194.25 : x
2. Step 2: Convert to fraction form
   789.50/1,194.25 = 1,194.25/x
3. Step 3: Cross multiply
   789.50x = 1,194.25 × 1,194.25
4. Step 4: Simplify right side
   789.50x = 1,426,233.06
5. Step 5: Solve for x
   x = 1,426,233.06/789.50
6. Step 6: Final answer
   x = 1,806.50