Finding the Third Proportional to 675,292 and 1,577,638

Step by Step Solution

1. Step 1: Write the proportion equation
   675,292 : 1,577,638 = 1,577,638 : x
2. Step 2: Convert to fraction form
   675,292/1,577,638 = 1,577,638/x
3. Step 3: Cross multiply
   675,292x = 1,577,638 × 1,577,638
4. Step 4: Simplify right side
   675,292x = 2,488,941,659,044
5. Step 5: Solve for x
   x = 2,488,941,659,044/675,292
6. Step 6: Final answer
   x = 3,685,726.56