Finding the Third Proportional to 1,197,089 and 2,584,096

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197,089 : 2,584,096 = 2,584,096 : x
2. Step 2: Convert to fraction form
   1,197,089/2,584,096 = 2,584,096/x
3. Step 3: Cross multiply
   1,197,089x = 2,584,096 × 2,584,096
4. Step 4: Simplify right side
   1,197,089x = 6,677,552,137,216
5. Step 5: Solve for x
   x = 6,677,552,137,216/1,197,089
6. Step 6: Final answer
   x = 5,578,158.46