Finding the Third Proportional to 123,889 and 265,268

Step by Step Solution

1. Step 1: Write the proportion equation
   123,889 : 265,268 = 265,268 : x
2. Step 2: Convert to fraction form
   123,889/265,268 = 265,268/x
3. Step 3: Cross multiply
   123,889x = 265,268 × 265,268
4. Step 4: Simplify right side
   123,889x = 70,367,111,824
5. Step 5: Solve for x
   x = 70,367,111,824/123,889
6. Step 6: Final answer
   x = 567,985.15