Finding the Third Proportional to 123,638 and 266,986

Step by Step Solution

1. Step 1: Write the proportion equation
   123,638 : 266,986 = 266,986 : x
2. Step 2: Convert to fraction form
   123,638/266,986 = 266,986/x
3. Step 3: Cross multiply
   123,638x = 266,986 × 266,986
4. Step 4: Simplify right side
   123,638x = 71,281,524,196
5. Step 5: Solve for x
   x = 71,281,524,196/123,638
6. Step 6: Final answer
   x = 576,534.11