Finding the Third Proportional to 59,300 and 128,320

Step by Step Solution

1. Step 1: Write the proportion equation
   59,300 : 128,320 = 128,320 : x
2. Step 2: Convert to fraction form
   59,300/128,320 = 128,320/x
3. Step 3: Cross multiply
   59,300x = 128,320 × 128,320
4. Step 4: Simplify right side
   59,300x = 16,466,022,400
5. Step 5: Solve for x
   x = 16,466,022,400/59,300
6. Step 6: Final answer
   x = 277,673.23