Finding the Third Proportional to 123,714 and 275,759

Step by Step Solution

1. Step 1: Write the proportion equation
   123,714 : 275,759 = 275,759 : x
2. Step 2: Convert to fraction form
   123,714/275,759 = 275,759/x
3. Step 3: Cross multiply
   123,714x = 275,759 × 275,759
4. Step 4: Simplify right side
   123,714x = 76,043,026,081
5. Step 5: Solve for x
   x = 76,043,026,081/123,714
6. Step 6: Final answer
   x = 614,667.91