Finding the Third Proportional to 123,504 and 265,733

Step by Step Solution

1. Step 1: Write the proportion equation
   123,504 : 265,733 = 265,733 : x
2. Step 2: Convert to fraction form
   123,504/265,733 = 265,733/x
3. Step 3: Cross multiply
   123,504x = 265,733 × 265,733
4. Step 4: Simplify right side
   123,504x = 70,614,027,289
5. Step 5: Solve for x
   x = 70,614,027,289/123,504
6. Step 6: Final answer
   x = 571,754.98