Finding the Third Proportional to 140,453 and 205,423

Step by Step Solution

1. Step 1: Write the proportion equation
   140,453 : 205,423 = 205,423 : x
2. Step 2: Convert to fraction form
   140,453/205,423 = 205,423/x
3. Step 3: Cross multiply
   140,453x = 205,423 × 205,423
4. Step 4: Simplify right side
   140,453x = 42,198,608,929
5. Step 5: Solve for x
   x = 42,198,608,929/140,453
6. Step 6: Final answer
   x = 300,446.48