Finding the Third Proportional to 81,801 and 173,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,801 : 173,488.50 = 173,488.50 : x
2. Step 2: Convert to fraction form
   81,801/173,488.50 = 173,488.50/x
3. Step 3: Cross multiply
   81,801x = 173,488.50 × 173,488.50
4. Step 4: Simplify right side
   81,801x = 30,098,259,632.25
5. Step 5: Solve for x
   x = 30,098,259,632.25/81,801
6. Step 6: Final answer
   x = 367,944.89