Finding the Third Proportional to 82,749 and 177,162

Step by Step Solution

1. Step 1: Write the proportion equation
   82,749 : 177,162 = 177,162 : x
2. Step 2: Convert to fraction form
   82,749/177,162 = 177,162/x
3. Step 3: Cross multiply
   82,749x = 177,162 × 177,162
4. Step 4: Simplify right side
   82,749x = 31,386,374,244
5. Step 5: Solve for x
   x = 31,386,374,244/82,749
6. Step 6: Final answer
   x = 379,296.12