Finding the Third Proportional to 208,024 and 490,576

Step by Step Solution

1. Step 1: Write the proportion equation
   208,024 : 490,576 = 490,576 : x
2. Step 2: Convert to fraction form
   208,024/490,576 = 490,576/x
3. Step 3: Cross multiply
   208,024x = 490,576 × 490,576
4. Step 4: Simplify right side
   208,024x = 240,664,811,776
5. Step 5: Solve for x
   x = 240,664,811,776/208,024
6. Step 6: Final answer
   x = 1,156,908.87