Finding the Third Proportional to 59,137 and 86,504

Step by Step Solution

1. Step 1: Write the proportion equation
   59,137 : 86,504 = 86,504 : x
2. Step 2: Convert to fraction form
   59,137/86,504 = 86,504/x
3. Step 3: Cross multiply
   59,137x = 86,504 × 86,504
4. Step 4: Simplify right side
   59,137x = 7,482,942,016
5. Step 5: Solve for x
   x = 7,482,942,016/59,137
6. Step 6: Final answer
   x = 126,535.71