Finding the Third Proportional to 826,900 and 1,780,480

Step by Step Solution

1. Step 1: Write the proportion equation
   826,900 : 1,780,480 = 1,780,480 : x
2. Step 2: Convert to fraction form
   826,900/1,780,480 = 1,780,480/x
3. Step 3: Cross multiply
   826,900x = 1,780,480 × 1,780,480
4. Step 4: Simplify right side
   826,900x = 3,170,109,030,400
5. Step 5: Solve for x
   x = 3,170,109,030,400/826,900
6. Step 6: Final answer
   x = 3,833,727.21