Finding the Third Proportional to 55,665 and 123,334

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 123,334 = 123,334 : x
2. Step 2: Convert to fraction form
   55,665/123,334 = 123,334/x
3. Step 3: Cross multiply
   55,665x = 123,334 × 123,334
4. Step 4: Simplify right side
   55,665x = 15,211,275,556
5. Step 5: Solve for x
   x = 15,211,275,556/55,665
6. Step 6: Final answer
   x = 273,264.63