Finding the Third Proportional to 145,792 and 238,064

Step by Step Solution

1. Step 1: Write the proportion equation
   145,792 : 238,064 = 238,064 : x
2. Step 2: Convert to fraction form
   145,792/238,064 = 238,064/x
3. Step 3: Cross multiply
   145,792x = 238,064 × 238,064
4. Step 4: Simplify right side
   145,792x = 56,674,468,096
5. Step 5: Solve for x
   x = 56,674,468,096/145,792
6. Step 6: Final answer
   x = 388,735.10