Finding the Third Proportional to 123,624 and 266,956

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 266,956 = 266,956 : x
2. Step 2: Convert to fraction form
   123,624/266,956 = 266,956/x
3. Step 3: Cross multiply
   123,624x = 266,956 × 266,956
4. Step 4: Simplify right side
   123,624x = 71,265,505,936
5. Step 5: Solve for x
   x = 71,265,505,936/123,624
6. Step 6: Final answer
   x = 576,469.83