Finding the Third Proportional to 333,003 and 519,932

Step by Step Solution

1. Step 1: Write the proportion equation
   333,003 : 519,932 = 519,932 : x
2. Step 2: Convert to fraction form
   333,003/519,932 = 519,932/x
3. Step 3: Cross multiply
   333,003x = 519,932 × 519,932
4. Step 4: Simplify right side
   333,003x = 270,329,284,624
5. Step 5: Solve for x
   x = 270,329,284,624/333,003
6. Step 6: Final answer
   x = 811,792.34