Finding the Third Proportional to 325,014 and 519,003

Step by Step Solution

1. Step 1: Write the proportion equation
   325,014 : 519,003 = 519,003 : x
2. Step 2: Convert to fraction form
   325,014/519,003 = 519,003/x
3. Step 3: Cross multiply
   325,014x = 519,003 × 519,003
4. Step 4: Simplify right side
   325,014x = 269,364,114,009
5. Step 5: Solve for x
   x = 269,364,114,009/325,014
6. Step 6: Final answer
   x = 828,776.96