Finding the Third Proportional to 83,240 and 178,390

Step by Step Solution

1. Step 1: Write the proportion equation
   83,240 : 178,390 = 178,390 : x
2. Step 2: Convert to fraction form
   83,240/178,390 = 178,390/x
3. Step 3: Cross multiply
   83,240x = 178,390 × 178,390
4. Step 4: Simplify right side
   83,240x = 31,822,992,100
5. Step 5: Solve for x
   x = 31,822,992,100/83,240
6. Step 6: Final answer
   x = 382,304.09