Finding the Third Proportional to 81,800 and 178,960

Step by Step Solution

1. Step 1: Write the proportion equation
   81,800 : 178,960 = 178,960 : x
2. Step 2: Convert to fraction form
   81,800/178,960 = 178,960/x
3. Step 3: Cross multiply
   81,800x = 178,960 × 178,960
4. Step 4: Simplify right side
   81,800x = 32,026,681,600
5. Step 5: Solve for x
   x = 32,026,681,600/81,800
6. Step 6: Final answer
   x = 391,524.22