Finding the Third Proportional to 776,964 and 1,686,789

Step by Step Solution

1. Step 1: Write the proportion equation
   776,964 : 1,686,789 = 1,686,789 : x
2. Step 2: Convert to fraction form
   776,964/1,686,789 = 1,686,789/x
3. Step 3: Cross multiply
   776,964x = 1,686,789 × 1,686,789
4. Step 4: Simplify right side
   776,964x = 2,845,257,130,521
5. Step 5: Solve for x
   x = 2,845,257,130,521/776,964
6. Step 6: Final answer
   x = 3,662,019.26