Finding the Third Proportional to 59,284 and 128,404

Step by Step Solution

1. Step 1: Write the proportion equation
   59,284 : 128,404 = 128,404 : x
2. Step 2: Convert to fraction form
   59,284/128,404 = 128,404/x
3. Step 3: Cross multiply
   59,284x = 128,404 × 128,404
4. Step 4: Simplify right side
   59,284x = 16,487,587,216
5. Step 5: Solve for x
   x = 16,487,587,216/59,284
6. Step 6: Final answer
   x = 278,111.92