Finding the Third Proportional to 81,796 and 173,481

Step by Step Solution

1. Step 1: Write the proportion equation
   81,796 : 173,481 = 173,481 : x
2. Step 2: Convert to fraction form
   81,796/173,481 = 173,481/x
3. Step 3: Cross multiply
   81,796x = 173,481 × 173,481
4. Step 4: Simplify right side
   81,796x = 30,095,657,361
5. Step 5: Solve for x
   x = 30,095,657,361/81,796
6. Step 6: Final answer
   x = 367,935.56