Finding the Third Proportional to 1,580,566 and 2,258,592

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580,566 : 2,258,592 = 2,258,592 : x
2. Step 2: Convert to fraction form
   1,580,566/2,258,592 = 2,258,592/x
3. Step 3: Cross multiply
   1,580,566x = 2,258,592 × 2,258,592
4. Step 4: Simplify right side
   1,580,566x = 5,101,237,822,464
5. Step 5: Solve for x
   x = 5,101,237,822,464/1,580,566
6. Step 6: Final answer
   x = 3,227,475.36