Finding the Third Proportional to 772,864 and 1,648,441

Step by Step Solution

1. Step 1: Write the proportion equation
   772,864 : 1,648,441 = 1,648,441 : x
2. Step 2: Convert to fraction form
   772,864/1,648,441 = 1,648,441/x
3. Step 3: Cross multiply
   772,864x = 1,648,441 × 1,648,441
4. Step 4: Simplify right side
   772,864x = 2,717,357,730,481
5. Step 5: Solve for x
   x = 2,717,357,730,481/772,864
6. Step 6: Final answer
   x = 3,515,958.47