Finding the Third Proportional to 412,819.50 and 837,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,819.50 : 837,256.50 = 837,256.50 : x
2. Step 2: Convert to fraction form
   412,819.50/837,256.50 = 837,256.50/x
3. Step 3: Cross multiply
   412,819.50x = 837,256.50 × 837,256.50
4. Step 4: Simplify right side
   412,819.50x = 700,998,446,792.25
5. Step 5: Solve for x
   x = 700,998,446,792.25/412,819.50
6. Step 6: Final answer
   x = 1,698,074.94