Finding the Third Proportional to 81,516 and 171,884

Step by Step Solution

1. Step 1: Write the proportion equation
   81,516 : 171,884 = 171,884 : x
2. Step 2: Convert to fraction form
   81,516/171,884 = 171,884/x
3. Step 3: Cross multiply
   81,516x = 171,884 × 171,884
4. Step 4: Simplify right side
   81,516x = 29,544,109,456
5. Step 5: Solve for x
   x = 29,544,109,456/81,516
6. Step 6: Final answer
   x = 362,433.26