Finding the Third Proportional to 81,731 and 172,336

Step by Step Solution

1. Step 1: Write the proportion equation
   81,731 : 172,336 = 172,336 : x
2. Step 2: Convert to fraction form
   81,731/172,336 = 172,336/x
3. Step 3: Cross multiply
   81,731x = 172,336 × 172,336
4. Step 4: Simplify right side
   81,731x = 29,699,696,896
5. Step 5: Solve for x
   x = 29,699,696,896/81,731
6. Step 6: Final answer
   x = 363,383.50