Finding the Third Proportional to 123,406 and 266,008

Step by Step Solution

1. Step 1: Write the proportion equation
   123,406 : 266,008 = 266,008 : x
2. Step 2: Convert to fraction form
   123,406/266,008 = 266,008/x
3. Step 3: Cross multiply
   123,406x = 266,008 × 266,008
4. Step 4: Simplify right side
   123,406x = 70,760,256,064
5. Step 5: Solve for x
   x = 70,760,256,064/123,406
6. Step 6: Final answer
   x = 573,393.97