Finding the Third Proportional to 81,800 and 173,488

Step by Step Solution

1. Step 1: Write the proportion equation
   81,800 : 173,488 = 173,488 : x
2. Step 2: Convert to fraction form
   81,800/173,488 = 173,488/x
3. Step 3: Cross multiply
   81,800x = 173,488 × 173,488
4. Step 4: Simplify right side
   81,800x = 30,098,086,144
5. Step 5: Solve for x
   x = 30,098,086,144/81,800
6. Step 6: Final answer
   x = 367,947.26