Finding the Third Proportional to 1,024,537 and 1,540,113

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024,537 : 1,540,113 = 1,540,113 : x
2. Step 2: Convert to fraction form
   1,024,537/1,540,113 = 1,540,113/x
3. Step 3: Cross multiply
   1,024,537x = 1,540,113 × 1,540,113
4. Step 4: Simplify right side
   1,024,537x = 2,371,948,052,769
5. Step 5: Solve for x
   x = 2,371,948,052,769/1,024,537
6. Step 6: Final answer
   x = 2,315,141.43