Finding the Third Proportional to 205,992 and 318,320.75

Step by Step Solution

1. Step 1: Write the proportion equation
   205,992 : 318,320.75 = 318,320.75 : x
2. Step 2: Convert to fraction form
   205,992/318,320.75 = 318,320.75/x
3. Step 3: Cross multiply
   205,992x = 318,320.75 × 318,320.75
4. Step 4: Simplify right side
   205,992x = 101,328,099,880.56
5. Step 5: Solve for x
   x = 101,328,099,880.56/205,992
6. Step 6: Final answer
   x = 491,903.08