Finding the Third Proportional to 123,171 and 264,759

Step by Step Solution

1. Step 1: Write the proportion equation
   123,171 : 264,759 = 264,759 : x
2. Step 2: Convert to fraction form
   123,171/264,759 = 264,759/x
3. Step 3: Cross multiply
   123,171x = 264,759 × 264,759
4. Step 4: Simplify right side
   123,171x = 70,097,328,081
5. Step 5: Solve for x
   x = 70,097,328,081/123,171
6. Step 6: Final answer
   x = 569,105.78