Finding the Third Proportional to 82,284 and 177,360

Step by Step Solution

1. Step 1: Write the proportion equation
   82,284 : 177,360 = 177,360 : x
2. Step 2: Convert to fraction form
   82,284/177,360 = 177,360/x
3. Step 3: Cross multiply
   82,284x = 177,360 × 177,360
4. Step 4: Simplify right side
   82,284x = 31,456,569,600
5. Step 5: Solve for x
   x = 31,456,569,600/82,284
6. Step 6: Final answer
   x = 382,292.66