Finding the Third Proportional to 59,186 and 130,036

Step by Step Solution

1. Step 1: Write the proportion equation
   59,186 : 130,036 = 130,036 : x
2. Step 2: Convert to fraction form
   59,186/130,036 = 130,036/x
3. Step 3: Cross multiply
   59,186x = 130,036 × 130,036
4. Step 4: Simplify right side
   59,186x = 16,909,361,296
5. Step 5: Solve for x
   x = 16,909,361,296/59,186
6. Step 6: Final answer
   x = 285,698.67