Finding the Third Proportional to 826,893 and 1,780,464

Step by Step Solution

1. Step 1: Write the proportion equation
   826,893 : 1,780,464 = 1,780,464 : x
2. Step 2: Convert to fraction form
   826,893/1,780,464 = 1,780,464/x
3. Step 3: Cross multiply
   826,893x = 1,780,464 × 1,780,464
4. Step 4: Simplify right side
   826,893x = 3,170,052,055,296
5. Step 5: Solve for x
   x = 3,170,052,055,296/826,893
6. Step 6: Final answer
   x = 3,833,690.76