Finding the Third Proportional to 81,680 and 179,082

Step by Step Solution

1. Step 1: Write the proportion equation
   81,680 : 179,082 = 179,082 : x
2. Step 2: Convert to fraction form
   81,680/179,082 = 179,082/x
3. Step 3: Cross multiply
   81,680x = 179,082 × 179,082
4. Step 4: Simplify right side
   81,680x = 32,070,362,724
5. Step 5: Solve for x
   x = 32,070,362,724/81,680
6. Step 6: Final answer
   x = 392,634.22