Finding the Third Proportional to 81,948 and 173,494

Step by Step Solution

1. Step 1: Write the proportion equation
   81,948 : 173,494 = 173,494 : x
2. Step 2: Convert to fraction form
   81,948/173,494 = 173,494/x
3. Step 3: Cross multiply
   81,948x = 173,494 × 173,494
4. Step 4: Simplify right side
   81,948x = 30,100,168,036
5. Step 5: Solve for x
   x = 30,100,168,036/81,948
6. Step 6: Final answer
   x = 367,308.15