Finding the Third Proportional to 123,208 and 267,136

Step by Step Solution

1. Step 1: Write the proportion equation
   123,208 : 267,136 = 267,136 : x
2. Step 2: Convert to fraction form
   123,208/267,136 = 267,136/x
3. Step 3: Cross multiply
   123,208x = 267,136 × 267,136
4. Step 4: Simplify right side
   123,208x = 71,361,642,496
5. Step 5: Solve for x
   x = 71,361,642,496/123,208
6. Step 6: Final answer
   x = 579,196.50