Finding the Third Proportional to 81,559 and 179,156

Step by Step Solution

1. Step 1: Write the proportion equation
   81,559 : 179,156 = 179,156 : x
2. Step 2: Convert to fraction form
   81,559/179,156 = 179,156/x
3. Step 3: Cross multiply
   81,559x = 179,156 × 179,156
4. Step 4: Simplify right side
   81,559x = 32,096,872,336
5. Step 5: Solve for x
   x = 32,096,872,336/81,559
6. Step 6: Final answer
   x = 393,541.76