Finding the Third Proportional to 59,049 and 128,466

Step by Step Solution

1. Step 1: Write the proportion equation
   59,049 : 128,466 = 128,466 : x
2. Step 2: Convert to fraction form
   59,049/128,466 = 128,466/x
3. Step 3: Cross multiply
   59,049x = 128,466 × 128,466
4. Step 4: Simplify right side
   59,049x = 16,503,513,156
5. Step 5: Solve for x
   x = 16,503,513,156/59,049
6. Step 6: Final answer
   x = 279,488.44