Finding the Third Proportional to 59,501 and 128,799

Step by Step Solution

1. Step 1: Write the proportion equation
   59,501 : 128,799 = 128,799 : x
2. Step 2: Convert to fraction form
   59,501/128,799 = 128,799/x
3. Step 3: Cross multiply
   59,501x = 128,799 × 128,799
4. Step 4: Simplify right side
   59,501x = 16,589,182,401
5. Step 5: Solve for x
   x = 16,589,182,401/59,501
6. Step 6: Final answer
   x = 278,805.10