Finding the Third Proportional to 123,365 and 265,086

Step by Step Solution

1. Step 1: Write the proportion equation
   123,365 : 265,086 = 265,086 : x
2. Step 2: Convert to fraction form
   123,365/265,086 = 265,086/x
3. Step 3: Cross multiply
   123,365x = 265,086 × 265,086
4. Step 4: Simplify right side
   123,365x = 70,270,587,396
5. Step 5: Solve for x
   x = 70,270,587,396/123,365
6. Step 6: Final answer
   x = 569,615.27