Finding the Third Proportional to 586,638 and 837,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   586,638 : 837,292.50 = 837,292.50 : x
2. Step 2: Convert to fraction form
   586,638/837,292.50 = 837,292.50/x
3. Step 3: Cross multiply
   586,638x = 837,292.50 × 837,292.50
4. Step 4: Simplify right side
   586,638x = 701,058,730,556.25
5. Step 5: Solve for x
   x = 701,058,730,556.25/586,638
6. Step 6: Final answer
   x = 1,195,044.87