Finding the Third Proportional to 82,112 and 177,048

Step by Step Solution

1. Step 1: Write the proportion equation
   82,112 : 177,048 = 177,048 : x
2. Step 2: Convert to fraction form
   82,112/177,048 = 177,048/x
3. Step 3: Cross multiply
   82,112x = 177,048 × 177,048
4. Step 4: Simplify right side
   82,112x = 31,345,994,304
5. Step 5: Solve for x
   x = 31,345,994,304/82,112
6. Step 6: Final answer
   x = 381,746.81