Finding the Third Proportional to 59,162 and 128,690

Step by Step Solution

1. Step 1: Write the proportion equation
   59,162 : 128,690 = 128,690 : x
2. Step 2: Convert to fraction form
   59,162/128,690 = 128,690/x
3. Step 3: Cross multiply
   59,162x = 128,690 × 128,690
4. Step 4: Simplify right side
   59,162x = 16,561,116,100
5. Step 5: Solve for x
   x = 16,561,116,100/59,162
6. Step 6: Final answer
   x = 279,928.27