Finding the Third Proportional to 819.50 and 1,214.69

Step by Step Solution

1. Step 1: Write the proportion equation
   819.50 : 1,214.69 = 1,214.69 : x
2. Step 2: Convert to fraction form
   819.50/1,214.69 = 1,214.69/x
3. Step 3: Cross multiply
   819.50x = 1,214.69 × 1,214.69
4. Step 4: Simplify right side
   819.50x = 1,475,465.72
5. Step 5: Solve for x
   x = 1,475,465.72/819.50
6. Step 6: Final answer
   x = 1,800.45