Finding the Third Proportional to 116,676 and 176,082

Step by Step Solution

1. Step 1: Write the proportion equation
   116,676 : 176,082 = 176,082 : x
2. Step 2: Convert to fraction form
   116,676/176,082 = 176,082/x
3. Step 3: Cross multiply
   116,676x = 176,082 × 176,082
4. Step 4: Simplify right side
   116,676x = 31,004,870,724
5. Step 5: Solve for x
   x = 31,004,870,724/116,676
6. Step 6: Final answer
   x = 265,734.78