Finding the Third Proportional to 81,564 and 179,166

Step by Step Solution

1. Step 1: Write the proportion equation
   81,564 : 179,166 = 179,166 : x
2. Step 2: Convert to fraction form
   81,564/179,166 = 179,166/x
3. Step 3: Cross multiply
   81,564x = 179,166 × 179,166
4. Step 4: Simplify right side
   81,564x = 32,100,455,556
5. Step 5: Solve for x
   x = 32,100,455,556/81,564
6. Step 6: Final answer
   x = 393,561.57