Finding the Third Proportional to 465,412 and 965,384

Step by Step Solution

1. Step 1: Write the proportion equation
   465,412 : 965,384 = 965,384 : x
2. Step 2: Convert to fraction form
   465,412/965,384 = 965,384/x
3. Step 3: Cross multiply
   465,412x = 965,384 × 965,384
4. Step 4: Simplify right side
   465,412x = 931,966,267,456
5. Step 5: Solve for x
   x = 931,966,267,456/465,412
6. Step 6: Final answer
   x = 2,002,454.31