Finding the Third Proportional to 81,804 and 171,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,804 : 171,058.50 = 171,058.50 : x
2. Step 2: Convert to fraction form
   81,804/171,058.50 = 171,058.50/x
3. Step 3: Cross multiply
   81,804x = 171,058.50 × 171,058.50
4. Step 4: Simplify right side
   81,804x = 29,261,010,422.25
5. Step 5: Solve for x
   x = 29,261,010,422.25/81,804
6. Step 6: Final answer
   x = 357,696.57