Finding the Third Proportional to 82,183.36 and 177,488.72

Step by Step Solution

1. Step 1: Write the proportion equation
   82,183.36 : 177,488.72 = 177,488.72 : x
2. Step 2: Convert to fraction form
   82,183.36/177,488.72 = 177,488.72/x
3. Step 3: Cross multiply
   82,183.36x = 177,488.72 × 177,488.72
4. Step 4: Simplify right side
   82,183.36x = 31,502,245,283.52
5. Step 5: Solve for x
   x = 31,502,245,283.52/82,183.36
6. Step 6: Final answer
   x = 383,316.59