Finding the Third Proportional to 828,884 and 1,216,128

Step by Step Solution

1. Step 1: Write the proportion equation
   828,884 : 1,216,128 = 1,216,128 : x
2. Step 2: Convert to fraction form
   828,884/1,216,128 = 1,216,128/x
3. Step 3: Cross multiply
   828,884x = 1,216,128 × 1,216,128
4. Step 4: Simplify right side
   828,884x = 1,478,967,312,384
5. Step 5: Solve for x
   x = 1,478,967,312,384/828,884
6. Step 6: Final answer
   x = 1,784,287.44