Finding the Third Proportional to 123,514 and 265,759

Step by Step Solution

1. Step 1: Write the proportion equation
   123,514 : 265,759 = 265,759 : x
2. Step 2: Convert to fraction form
   123,514/265,759 = 265,759/x
3. Step 3: Cross multiply
   123,514x = 265,759 × 265,759
4. Step 4: Simplify right side
   123,514x = 70,627,846,081
5. Step 5: Solve for x
   x = 70,627,846,081/123,514
6. Step 6: Final answer
   x = 571,820.57