Finding the Third Proportional to 1,197,078 and 2,584,074

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197,078 : 2,584,074 = 2,584,074 : x
2. Step 2: Convert to fraction form
   1,197,078/2,584,074 = 2,584,074/x
3. Step 3: Cross multiply
   1,197,078x = 2,584,074 × 2,584,074
4. Step 4: Simplify right side
   1,197,078x = 6,677,438,437,476
5. Step 5: Solve for x
   x = 6,677,438,437,476/1,197,078
6. Step 6: Final answer
   x = 5,578,114.74