Finding the Third Proportional to 140,517 and 205,854

Step by Step Solution

1. Step 1: Write the proportion equation
   140,517 : 205,854 = 205,854 : x
2. Step 2: Convert to fraction form
   140,517/205,854 = 205,854/x
3. Step 3: Cross multiply
   140,517x = 205,854 × 205,854
4. Step 4: Simplify right side
   140,517x = 42,375,869,316
5. Step 5: Solve for x
   x = 42,375,869,316/140,517
6. Step 6: Final answer
   x = 301,571.12