Finding the Third Proportional to 123,158 and 265,313

Step by Step Solution

1. Step 1: Write the proportion equation
   123,158 : 265,313 = 265,313 : x
2. Step 2: Convert to fraction form
   123,158/265,313 = 265,313/x
3. Step 3: Cross multiply
   123,158x = 265,313 × 265,313
4. Step 4: Simplify right side
   123,158x = 70,390,987,969
5. Step 5: Solve for x
   x = 70,390,987,969/123,158
6. Step 6: Final answer
   x = 571,550.27