Finding the Third Proportional to 371,886 and 765,780

Step by Step Solution

1. Step 1: Write the proportion equation
   371,886 : 765,780 = 765,780 : x
2. Step 2: Convert to fraction form
   371,886/765,780 = 765,780/x
3. Step 3: Cross multiply
   371,886x = 765,780 × 765,780
4. Step 4: Simplify right side
   371,886x = 586,419,008,400
5. Step 5: Solve for x
   x = 586,419,008,400/371,886
6. Step 6: Final answer
   x = 1,576,878.42