Finding the Third Proportional to 140,523 and 205,524

Step by Step Solution

1. Step 1: Write the proportion equation
   140,523 : 205,524 = 205,524 : x
2. Step 2: Convert to fraction form
   140,523/205,524 = 205,524/x
3. Step 3: Cross multiply
   140,523x = 205,524 × 205,524
4. Step 4: Simplify right side
   140,523x = 42,240,114,576
5. Step 5: Solve for x
   x = 42,240,114,576/140,523
6. Step 6: Final answer
   x = 300,592.18