Finding the Third Proportional to 178,613.25 and 381,792

Step by Step Solution

1. Step 1: Write the proportion equation
   178,613.25 : 381,792 = 381,792 : x
2. Step 2: Convert to fraction form
   178,613.25/381,792 = 381,792/x
3. Step 3: Cross multiply
   178,613.25x = 381,792 × 381,792
4. Step 4: Simplify right side
   178,613.25x = 145,765,131,264
5. Step 5: Solve for x
   x = 145,765,131,264/178,613.25
6. Step 6: Final answer
   x = 816,093.61