Finding the Third Proportional to 82,063.50 and 176,682

Step by Step Solution

1. Step 1: Write the proportion equation
   82,063.50 : 176,682 = 176,682 : x
2. Step 2: Convert to fraction form
   82,063.50/176,682 = 176,682/x
3. Step 3: Cross multiply
   82,063.50x = 176,682 × 176,682
4. Step 4: Simplify right side
   82,063.50x = 31,216,529,124
5. Step 5: Solve for x
   x = 31,216,529,124/82,063.50
6. Step 6: Final answer
   x = 380,394.81