Finding the Third Proportional to 81,805.25 and 171,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,805.25 : 171,021.50 = 171,021.50 : x
2. Step 2: Convert to fraction form
   81,805.25/171,021.50 = 171,021.50/x
3. Step 3: Cross multiply
   81,805.25x = 171,021.50 × 171,021.50
4. Step 4: Simplify right side
   81,805.25x = 29,248,353,462.25
5. Step 5: Solve for x
   x = 29,248,353,462.25/81,805.25
6. Step 6: Final answer
   x = 357,536.39