Finding the Third Proportional to 776,814 and 1,661,564

Step by Step Solution

1. Step 1: Write the proportion equation
   776,814 : 1,661,564 = 1,661,564 : x
2. Step 2: Convert to fraction form
   776,814/1,661,564 = 1,661,564/x
3. Step 3: Cross multiply
   776,814x = 1,661,564 × 1,661,564
4. Step 4: Simplify right side
   776,814x = 2,760,794,926,096
5. Step 5: Solve for x
   x = 2,760,794,926,096/776,814
6. Step 6: Final answer
   x = 3,553,997.39