Finding the Third Proportional to 123,122 and 265,684

Step by Step Solution

1. Step 1: Write the proportion equation
   123,122 : 265,684 = 265,684 : x
2. Step 2: Convert to fraction form
   123,122/265,684 = 265,684/x
3. Step 3: Cross multiply
   123,122x = 265,684 × 265,684
4. Step 4: Simplify right side
   123,122x = 70,587,987,856
5. Step 5: Solve for x
   x = 70,587,987,856/123,122
6. Step 6: Final answer
   x = 573,317.42