Finding the Third Proportional to 82,812 and 171,700

Step by Step Solution

1. Step 1: Write the proportion equation
   82,812 : 171,700 = 171,700 : x
2. Step 2: Convert to fraction form
   82,812/171,700 = 171,700/x
3. Step 3: Cross multiply
   82,812x = 171,700 × 171,700
4. Step 4: Simplify right side
   82,812x = 29,480,890,000
5. Step 5: Solve for x
   x = 29,480,890,000/82,812
6. Step 6: Final answer
   x = 355,997.80