Finding the Third Proportional to 352,805 and 530,003

Step by Step Solution

1. Step 1: Write the proportion equation
   352,805 : 530,003 = 530,003 : x
2. Step 2: Convert to fraction form
   352,805/530,003 = 530,003/x
3. Step 3: Cross multiply
   352,805x = 530,003 × 530,003
4. Step 4: Simplify right side
   352,805x = 280,903,180,009
5. Step 5: Solve for x
   x = 280,903,180,009/352,805
6. Step 6: Final answer
   x = 796,199.54