Finding the Third Proportional to 59,977 and 127,334

Step by Step Solution

1. Step 1: Write the proportion equation
   59,977 : 127,334 = 127,334 : x
2. Step 2: Convert to fraction form
   59,977/127,334 = 127,334/x
3. Step 3: Cross multiply
   59,977x = 127,334 × 127,334
4. Step 4: Simplify right side
   59,977x = 16,213,947,556
5. Step 5: Solve for x
   x = 16,213,947,556/59,977
6. Step 6: Final answer
   x = 270,336.09