Finding the Third Proportional to 776,408 and 1,646,128

Step by Step Solution

1. Step 1: Write the proportion equation
   776,408 : 1,646,128 = 1,646,128 : x
2. Step 2: Convert to fraction form
   776,408/1,646,128 = 1,646,128/x
3. Step 3: Cross multiply
   776,408x = 1,646,128 × 1,646,128
4. Step 4: Simplify right side
   776,408x = 2,709,737,392,384
5. Step 5: Solve for x
   x = 2,709,737,392,384/776,408
6. Step 6: Final answer
   x = 3,490,094.63