Finding the Third Proportional to 41,805 and 86,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,805 : 86,539.50 = 86,539.50 : x
2. Step 2: Convert to fraction form
   41,805/86,539.50 = 86,539.50/x
3. Step 3: Cross multiply
   41,805x = 86,539.50 × 86,539.50
4. Step 4: Simplify right side
   41,805x = 7,489,085,060.25
5. Step 5: Solve for x
   x = 7,489,085,060.25/41,805
6. Step 6: Final answer
   x = 179,143.29