Finding the Third Proportional to 1,013,137 and 1,540,593

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,137 : 1,540,593 = 1,540,593 : x
2. Step 2: Convert to fraction form
   1,013,137/1,540,593 = 1,540,593/x
3. Step 3: Cross multiply
   1,013,137x = 1,540,593 × 1,540,593
4. Step 4: Simplify right side
   1,013,137x = 2,373,426,791,649
5. Step 5: Solve for x
   x = 2,373,426,791,649/1,013,137
6. Step 6: Final answer
   x = 2,342,651.38