Finding the Third Proportional to 1,197,204 and 2,584,320

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197,204 : 2,584,320 = 2,584,320 : x
2. Step 2: Convert to fraction form
   1,197,204/2,584,320 = 2,584,320/x
3. Step 3: Cross multiply
   1,197,204x = 2,584,320 × 2,584,320
4. Step 4: Simplify right side
   1,197,204x = 6,678,709,862,400
5. Step 5: Solve for x
   x = 6,678,709,862,400/1,197,204
6. Step 6: Final answer
   x = 5,578,589.67