Finding the Third Proportional to 57,226 and 123,284

Step by Step Solution

1. Step 1: Write the proportion equation
   57,226 : 123,284 = 123,284 : x
2. Step 2: Convert to fraction form
   57,226/123,284 = 123,284/x
3. Step 3: Cross multiply
   57,226x = 123,284 × 123,284
4. Step 4: Simplify right side
   57,226x = 15,198,944,656
5. Step 5: Solve for x
   x = 15,198,944,656/57,226
6. Step 6: Final answer
   x = 265,595.09