Finding the Third Proportional to 81,938 and 172,116

Step by Step Solution

1. Step 1: Write the proportion equation
   81,938 : 172,116 = 172,116 : x
2. Step 2: Convert to fraction form
   81,938/172,116 = 172,116/x
3. Step 3: Cross multiply
   81,938x = 172,116 × 172,116
4. Step 4: Simplify right side
   81,938x = 29,623,917,456
5. Step 5: Solve for x
   x = 29,623,917,456/81,938
6. Step 6: Final answer
   x = 361,540.65