Finding the Third Proportional to 145,802 and 238,080

Step by Step Solution

1. Step 1: Write the proportion equation
   145,802 : 238,080 = 238,080 : x
2. Step 2: Convert to fraction form
   145,802/238,080 = 238,080/x
3. Step 3: Cross multiply
   145,802x = 238,080 × 238,080
4. Step 4: Simplify right side
   145,802x = 56,682,086,400
5. Step 5: Solve for x
   x = 56,682,086,400/145,802
6. Step 6: Final answer
   x = 388,760.69