Finding the Third Proportional to 145,786 and 238,056

Step by Step Solution

1. Step 1: Write the proportion equation
   145,786 : 238,056 = 238,056 : x
2. Step 2: Convert to fraction form
   145,786/238,056 = 238,056/x
3. Step 3: Cross multiply
   145,786x = 238,056 × 238,056
4. Step 4: Simplify right side
   145,786x = 56,670,659,136
5. Step 5: Solve for x
   x = 56,670,659,136/145,786
6. Step 6: Final answer
   x = 388,724.97