Finding the Third Proportional to 81,680 and 179,914

Step by Step Solution

1. Step 1: Write the proportion equation
   81,680 : 179,914 = 179,914 : x
2. Step 2: Convert to fraction form
   81,680/179,914 = 179,914/x
3. Step 3: Cross multiply
   81,680x = 179,914 × 179,914
4. Step 4: Simplify right side
   81,680x = 32,369,047,396
5. Step 5: Solve for x
   x = 32,369,047,396/81,680
6. Step 6: Final answer
   x = 396,290.98