Finding the Third Proportional to 82,800 and 178,704

Step by Step Solution

1. Step 1: Write the proportion equation
   82,800 : 178,704 = 178,704 : x
2. Step 2: Convert to fraction form
   82,800/178,704 = 178,704/x
3. Step 3: Cross multiply
   82,800x = 178,704 × 178,704
4. Step 4: Simplify right side
   82,800x = 31,935,119,616
5. Step 5: Solve for x
   x = 31,935,119,616/82,800
6. Step 6: Final answer
   x = 385,689.85