Finding the Third Proportional to 513,216 and 1,236,384

Step by Step Solution

1. Step 1: Write the proportion equation
   513,216 : 1,236,384 = 1,236,384 : x
2. Step 2: Convert to fraction form
   513,216/1,236,384 = 1,236,384/x
3. Step 3: Cross multiply
   513,216x = 1,236,384 × 1,236,384
4. Step 4: Simplify right side
   513,216x = 1,528,645,395,456
5. Step 5: Solve for x
   x = 1,528,645,395,456/513,216
6. Step 6: Final answer
   x = 2,978,561.45