Finding the Third Proportional to 194,443 and 317,505

Step by Step Solution

1. Step 1: Write the proportion equation
   194,443 : 317,505 = 317,505 : x
2. Step 2: Convert to fraction form
   194,443/317,505 = 317,505/x
3. Step 3: Cross multiply
   194,443x = 317,505 × 317,505
4. Step 4: Simplify right side
   194,443x = 100,809,425,025
5. Step 5: Solve for x
   x = 100,809,425,025/194,443
6. Step 6: Final answer
   x = 518,452.32