Finding the Third Proportional to 123,096 and 266,928

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 266,928 = 266,928 : x
2. Step 2: Convert to fraction form
   123,096/266,928 = 266,928/x
3. Step 3: Cross multiply
   123,096x = 266,928 × 266,928
4. Step 4: Simplify right side
   123,096x = 71,250,557,184
5. Step 5: Solve for x
   x = 71,250,557,184/123,096
6. Step 6: Final answer
   x = 578,821.06