Finding the Third Proportional to 123,614 and 265,857

Step by Step Solution

1. Step 1: Write the proportion equation
   123,614 : 265,857 = 265,857 : x
2. Step 2: Convert to fraction form
   123,614/265,857 = 265,857/x
3. Step 3: Cross multiply
   123,614x = 265,857 × 265,857
4. Step 4: Simplify right side
   123,614x = 70,679,944,449
5. Step 5: Solve for x
   x = 70,679,944,449/123,614
6. Step 6: Final answer
   x = 571,779.45