Finding the Third Proportional to 120,820 and 250,136

Step by Step Solution

1. Step 1: Write the proportion equation
   120,820 : 250,136 = 250,136 : x
2. Step 2: Convert to fraction form
   120,820/250,136 = 250,136/x
3. Step 3: Cross multiply
   120,820x = 250,136 × 250,136
4. Step 4: Simplify right side
   120,820x = 62,568,018,496
5. Step 5: Solve for x
   x = 62,568,018,496/120,820
6. Step 6: Final answer
   x = 517,861.43