Finding the Third Proportional to 82,077.68 and 179,725.39

Step by Step Solution

1. Step 1: Write the proportion equation
   82,077.68 : 179,725.39 = 179,725.39 : x
2. Step 2: Convert to fraction form
   82,077.68/179,725.39 = 179,725.39/x
3. Step 3: Cross multiply
   82,077.68x = 179,725.39 × 179,725.39
4. Step 4: Simplify right side
   82,077.68x = 32,301,217,439.41
5. Step 5: Solve for x
   x = 32,301,217,439.41/82,077.68
6. Step 6: Final answer
   x = 393,544.48