Finding the Third Proportional to 81,846 and 179,082

Step by Step Solution

1. Step 1: Write the proportion equation
   81,846 : 179,082 = 179,082 : x
2. Step 2: Convert to fraction form
   81,846/179,082 = 179,082/x
3. Step 3: Cross multiply
   81,846x = 179,082 × 179,082
4. Step 4: Simplify right side
   81,846x = 32,070,362,724
5. Step 5: Solve for x
   x = 32,070,362,724/81,846
6. Step 6: Final answer
   x = 391,837.88