Finding the Third Proportional to 123,268 and 180,514

Step by Step Solution

1. Step 1: Write the proportion equation
   123,268 : 180,514 = 180,514 : x
2. Step 2: Convert to fraction form
   123,268/180,514 = 180,514/x
3. Step 3: Cross multiply
   123,268x = 180,514 × 180,514
4. Step 4: Simplify right side
   123,268x = 32,585,304,196
5. Step 5: Solve for x
   x = 32,585,304,196/123,268
6. Step 6: Final answer
   x = 264,345.20