Finding the Third Proportional to 396,003 and 525,105

Step by Step Solution

1. Step 1: Write the proportion equation
   396,003 : 525,105 = 525,105 : x
2. Step 2: Convert to fraction form
   396,003/525,105 = 525,105/x
3. Step 3: Cross multiply
   396,003x = 525,105 × 525,105
4. Step 4: Simplify right side
   396,003x = 275,735,261,025
5. Step 5: Solve for x
   x = 275,735,261,025/396,003
6. Step 6: Final answer
   x = 696,295.89