Finding the Third Proportional to 59,238 and 128,664

Step by Step Solution

1. Step 1: Write the proportion equation
   59,238 : 128,664 = 128,664 : x
2. Step 2: Convert to fraction form
   59,238/128,664 = 128,664/x
3. Step 3: Cross multiply
   59,238x = 128,664 × 128,664
4. Step 4: Simplify right side
   59,238x = 16,554,424,896
5. Step 5: Solve for x
   x = 16,554,424,896/59,238
6. Step 6: Final answer
   x = 279,456.18