Finding the Third Proportional to 789.50 and 1,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   789.50 : 1,205.50 = 1,205.50 : x
2. Step 2: Convert to fraction form
   789.50/1,205.50 = 1,205.50/x
3. Step 3: Cross multiply
   789.50x = 1,205.50 × 1,205.50
4. Step 4: Simplify right side
   789.50x = 1,453,230.25
5. Step 5: Solve for x
   x = 1,453,230.25/789.50
6. Step 6: Final answer
   x = 1,840.70