Finding the Third Proportional to 82,818.56 and 178,880.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82,818.56 : 178,880.63 = 178,880.63 : x
2. Step 2: Convert to fraction form
   82,818.56/178,880.63 = 178,880.63/x
3. Step 3: Cross multiply
   82,818.56x = 178,880.63 × 178,880.63
4. Step 4: Simplify right side
   82,818.56x = 31,998,278,000.39
5. Step 5: Solve for x
   x = 31,998,278,000.39/82,818.56
6. Step 6: Final answer
   x = 386,366.02