Finding the Third Proportional to 500,749 and 682,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,749 : 682,003.50 = 682,003.50 : x
2. Step 2: Convert to fraction form
   500,749/682,003.50 = 682,003.50/x
3. Step 3: Cross multiply
   500,749x = 682,003.50 × 682,003.50
4. Step 4: Simplify right side
   500,749x = 465,128,774,012.25
5. Step 5: Solve for x
   x = 465,128,774,012.25/500,749
6. Step 6: Final answer
   x = 928,866.11