Finding the Third Proportional to 819,264 and 1,782,140

Step by Step Solution

1. Step 1: Write the proportion equation
   819,264 : 1,782,140 = 1,782,140 : x
2. Step 2: Convert to fraction form
   819,264/1,782,140 = 1,782,140/x
3. Step 3: Cross multiply
   819,264x = 1,782,140 × 1,782,140
4. Step 4: Simplify right side
   819,264x = 3,176,022,979,600
5. Step 5: Solve for x
   x = 3,176,022,979,600/819,264
6. Step 6: Final answer
   x = 3,876,678.31