Finding the Third Proportional to 123,086 and 265,004

Step by Step Solution

1. Step 1: Write the proportion equation
   123,086 : 265,004 = 265,004 : x
2. Step 2: Convert to fraction form
   123,086/265,004 = 265,004/x
3. Step 3: Cross multiply
   123,086x = 265,004 × 265,004
4. Step 4: Simplify right side
   123,086x = 70,227,120,016
5. Step 5: Solve for x
   x = 70,227,120,016/123,086
6. Step 6: Final answer
   x = 570,553.27