Finding the Third Proportional to 81,803 and 173,493

Step by Step Solution

1. Step 1: Write the proportion equation
   81,803 : 173,493 = 173,493 : x
2. Step 2: Convert to fraction form
   81,803/173,493 = 173,493/x
3. Step 3: Cross multiply
   81,803x = 173,493 × 173,493
4. Step 4: Simplify right side
   81,803x = 30,099,821,049
5. Step 5: Solve for x
   x = 30,099,821,049/81,803
6. Step 6: Final answer
   x = 367,954.98