Finding the Third Proportional to 57,416 and 123,136

Step by Step Solution

1. Step 1: Write the proportion equation
   57,416 : 123,136 = 123,136 : x
2. Step 2: Convert to fraction form
   57,416/123,136 = 123,136/x
3. Step 3: Cross multiply
   57,416x = 123,136 × 123,136
4. Step 4: Simplify right side
   57,416x = 15,162,474,496
5. Step 5: Solve for x
   x = 15,162,474,496/57,416
6. Step 6: Final answer
   x = 264,081.00