Finding the Third Proportional to 81,573 and 179,697

Step by Step Solution

1. Step 1: Write the proportion equation
   81,573 : 179,697 = 179,697 : x
2. Step 2: Convert to fraction form
   81,573/179,697 = 179,697/x
3. Step 3: Cross multiply
   81,573x = 179,697 × 179,697
4. Step 4: Simplify right side
   81,573x = 32,291,011,809
5. Step 5: Solve for x
   x = 32,291,011,809/81,573
6. Step 6: Final answer
   x = 395,854.17