Finding the Third Proportional to 59,108 and 128,584

Step by Step Solution

1. Step 1: Write the proportion equation
   59,108 : 128,584 = 128,584 : x
2. Step 2: Convert to fraction form
   59,108/128,584 = 128,584/x
3. Step 3: Cross multiply
   59,108x = 128,584 × 128,584
4. Step 4: Simplify right side
   59,108x = 16,533,845,056
5. Step 5: Solve for x
   x = 16,533,845,056/59,108
6. Step 6: Final answer
   x = 279,722.63