Finding the Third Proportional to 145,788 and 238,059

Step by Step Solution

1. Step 1: Write the proportion equation
   145,788 : 238,059 = 238,059 : x
2. Step 2: Convert to fraction form
   145,788/238,059 = 238,059/x
3. Step 3: Cross multiply
   145,788x = 238,059 × 238,059
4. Step 4: Simplify right side
   145,788x = 56,672,087,481
5. Step 5: Solve for x
   x = 56,672,087,481/145,788
6. Step 6: Final answer
   x = 388,729.44