Finding the Third Proportional to 59,124 and 128,454

Step by Step Solution

1. Step 1: Write the proportion equation
   59,124 : 128,454 = 128,454 : x
2. Step 2: Convert to fraction form
   59,124/128,454 = 128,454/x
3. Step 3: Cross multiply
   59,124x = 128,454 × 128,454
4. Step 4: Simplify right side
   59,124x = 16,500,430,116
5. Step 5: Solve for x
   x = 16,500,430,116/59,124
6. Step 6: Final answer
   x = 279,081.76