Finding the Third Proportional to 819,300 and 1,782,216

Step by Step Solution

1. Step 1: Write the proportion equation
   819,300 : 1,782,216 = 1,782,216 : x
2. Step 2: Convert to fraction form
   819,300/1,782,216 = 1,782,216/x
3. Step 3: Cross multiply
   819,300x = 1,782,216 × 1,782,216
4. Step 4: Simplify right side
   819,300x = 3,176,293,870,656
5. Step 5: Solve for x
   x = 3,176,293,870,656/819,300
6. Step 6: Final answer
   x = 3,876,838.61