Finding the Third Proportional to 81,926 and 173,452

Step by Step Solution

1. Step 1: Write the proportion equation
   81,926 : 173,452 = 173,452 : x
2. Step 2: Convert to fraction form
   81,926/173,452 = 173,452/x
3. Step 3: Cross multiply
   81,926x = 173,452 × 173,452
4. Step 4: Simplify right side
   81,926x = 30,085,596,304
5. Step 5: Solve for x
   x = 30,085,596,304/81,926
6. Step 6: Final answer
   x = 367,228.92