Finding the Third Proportional to 123,208 and 266,056

Step by Step Solution

1. Step 1: Write the proportion equation
   123,208 : 266,056 = 266,056 : x
2. Step 2: Convert to fraction form
   123,208/266,056 = 266,056/x
3. Step 3: Cross multiply
   123,208x = 266,056 × 266,056
4. Step 4: Simplify right side
   123,208x = 70,785,795,136
5. Step 5: Solve for x
   x = 70,785,795,136/123,208
6. Step 6: Final answer
   x = 574,522.72