Finding the Third Proportional to 59,746 and 128,826

Step by Step Solution

1. Step 1: Write the proportion equation
   59,746 : 128,826 = 128,826 : x
2. Step 2: Convert to fraction form
   59,746/128,826 = 128,826/x
3. Step 3: Cross multiply
   59,746x = 128,826 × 128,826
4. Step 4: Simplify right side
   59,746x = 16,596,138,276
5. Step 5: Solve for x
   x = 16,596,138,276/59,746
6. Step 6: Final answer
   x = 277,778.23