Finding the Third Proportional to 82,450 and 178,076

Step by Step Solution

1. Step 1: Write the proportion equation
   82,450 : 178,076 = 178,076 : x
2. Step 2: Convert to fraction form
   82,450/178,076 = 178,076/x
3. Step 3: Cross multiply
   82,450x = 178,076 × 178,076
4. Step 4: Simplify right side
   82,450x = 31,711,061,776
5. Step 5: Solve for x
   x = 31,711,061,776/82,450
6. Step 6: Final answer
   x = 384,609.60