Finding the Third Proportional to 82,084 and 177,264

Step by Step Solution

1. Step 1: Write the proportion equation
   82,084 : 177,264 = 177,264 : x
2. Step 2: Convert to fraction form
   82,084/177,264 = 177,264/x
3. Step 3: Cross multiply
   82,084x = 177,264 × 177,264
4. Step 4: Simplify right side
   82,084x = 31,422,525,696
5. Step 5: Solve for x
   x = 31,422,525,696/82,084
6. Step 6: Final answer
   x = 382,809.39