Finding the Third Proportional to 1,013,118 and 1,540,563

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,118 : 1,540,563 = 1,540,563 : x
2. Step 2: Convert to fraction form
   1,013,118/1,540,563 = 1,540,563/x
3. Step 3: Cross multiply
   1,013,118x = 1,540,563 × 1,540,563
4. Step 4: Simplify right side
   1,013,118x = 2,373,334,356,969
5. Step 5: Solve for x
   x = 2,373,334,356,969/1,013,118
6. Step 6: Final answer
   x = 2,342,604.08