Finding the Third Proportional to 81,884 and 172,516

Step by Step Solution

1. Step 1: Write the proportion equation
   81,884 : 172,516 = 172,516 : x
2. Step 2: Convert to fraction form
   81,884/172,516 = 172,516/x
3. Step 3: Cross multiply
   81,884x = 172,516 × 172,516
4. Step 4: Simplify right side
   81,884x = 29,761,770,256
5. Step 5: Solve for x
   x = 29,761,770,256/81,884
6. Step 6: Final answer
   x = 363,462.58