Finding the Third Proportional to 333,996 and 517,224

Step by Step Solution

1. Step 1: Write the proportion equation
   333,996 : 517,224 = 517,224 : x
2. Step 2: Convert to fraction form
   333,996/517,224 = 517,224/x
3. Step 3: Cross multiply
   333,996x = 517,224 × 517,224
4. Step 4: Simplify right side
   333,996x = 267,520,666,176
5. Step 5: Solve for x
   x = 267,520,666,176/333,996
6. Step 6: Final answer
   x = 800,969.67