Finding the Third Proportional to 123,714 and 266,976

Step by Step Solution

1. Step 1: Write the proportion equation
   123,714 : 266,976 = 266,976 : x
2. Step 2: Convert to fraction form
   123,714/266,976 = 266,976/x
3. Step 3: Cross multiply
   123,714x = 266,976 × 266,976
4. Step 4: Simplify right side
   123,714x = 71,276,184,576
5. Step 5: Solve for x
   x = 71,276,184,576/123,714
6. Step 6: Final answer
   x = 576,136.77