Finding the Third Proportional to 81,567 and 179,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,567 : 179,686.50 = 179,686.50 : x
2. Step 2: Convert to fraction form
   81,567/179,686.50 = 179,686.50/x
3. Step 3: Cross multiply
   81,567x = 179,686.50 × 179,686.50
4. Step 4: Simplify right side
   81,567x = 32,287,238,282.25
5. Step 5: Solve for x
   x = 32,287,238,282.25/81,567
6. Step 6: Final answer
   x = 395,837.02