Finding the Third Proportional to 81,518 and 171,884

Step by Step Solution

1. Step 1: Write the proportion equation
   81,518 : 171,884 = 171,884 : x
2. Step 2: Convert to fraction form
   81,518/171,884 = 171,884/x
3. Step 3: Cross multiply
   81,518x = 171,884 × 171,884
4. Step 4: Simplify right side
   81,518x = 29,544,109,456
5. Step 5: Solve for x
   x = 29,544,109,456/81,518
6. Step 6: Final answer
   x = 362,424.37