Finding the Third Proportional to 145,866 and 238,182

Step by Step Solution

1. Step 1: Write the proportion equation
   145,866 : 238,182 = 238,182 : x
2. Step 2: Convert to fraction form
   145,866/238,182 = 238,182/x
3. Step 3: Cross multiply
   145,866x = 238,182 × 238,182
4. Step 4: Simplify right side
   145,866x = 56,730,665,124
5. Step 5: Solve for x
   x = 56,730,665,124/145,866
6. Step 6: Final answer
   x = 388,923.16