Finding the Third Proportional to 59,047 and 128,462

Step by Step Solution

1. Step 1: Write the proportion equation
   59,047 : 128,462 = 128,462 : x
2. Step 2: Convert to fraction form
   59,047/128,462 = 128,462/x
3. Step 3: Cross multiply
   59,047x = 128,462 × 128,462
4. Step 4: Simplify right side
   59,047x = 16,502,485,444
5. Step 5: Solve for x
   x = 16,502,485,444/59,047
6. Step 6: Final answer
   x = 279,480.51