Finding the Third Proportional to 1,198,498 and 2,567,584

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198,498 : 2,567,584 = 2,567,584 : x
2. Step 2: Convert to fraction form
   1,198,498/2,567,584 = 2,567,584/x
3. Step 3: Cross multiply
   1,198,498x = 2,567,584 × 2,567,584
4. Step 4: Simplify right side
   1,198,498x = 6,592,487,597,056
5. Step 5: Solve for x
   x = 6,592,487,597,056/1,198,498
6. Step 6: Final answer
   x = 5,500,624.61