Finding the Third Proportional to 81,884 and 179,158

Step by Step Solution

1. Step 1: Write the proportion equation
   81,884 : 179,158 = 179,158 : x
2. Step 2: Convert to fraction form
   81,884/179,158 = 179,158/x
3. Step 3: Cross multiply
   81,884x = 179,158 × 179,158
4. Step 4: Simplify right side
   81,884x = 32,097,588,964
5. Step 5: Solve for x
   x = 32,097,588,964/81,884
6. Step 6: Final answer
   x = 391,988.53