Finding the Third Proportional to 1,013,113 and 1,540,557

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,113 : 1,540,557 = 1,540,557 : x
2. Step 2: Convert to fraction form
   1,013,113/1,540,557 = 1,540,557/x
3. Step 3: Cross multiply
   1,013,113x = 1,540,557 × 1,540,557
4. Step 4: Simplify right side
   1,013,113x = 2,373,315,870,249
5. Step 5: Solve for x
   x = 2,373,315,870,249/1,013,113
6. Step 6: Final answer
   x = 2,342,597.39