Finding the Third Proportional to 82,836 and 177,282

Step by Step Solution

1. Step 1: Write the proportion equation
   82,836 : 177,282 = 177,282 : x
2. Step 2: Convert to fraction form
   82,836/177,282 = 177,282/x
3. Step 3: Cross multiply
   82,836x = 177,282 × 177,282
4. Step 4: Simplify right side
   82,836x = 31,428,907,524
5. Step 5: Solve for x
   x = 31,428,907,524/82,836
6. Step 6: Final answer
   x = 379,411.22