Finding the Third Proportional to 41,569 and 86,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,569 : 86,093.50 = 86,093.50 : x
2. Step 2: Convert to fraction form
   41,569/86,093.50 = 86,093.50/x
3. Step 3: Cross multiply
   41,569x = 86,093.50 × 86,093.50
4. Step 4: Simplify right side
   41,569x = 7,412,090,742.25
5. Step 5: Solve for x
   x = 7,412,090,742.25/41,569
6. Step 6: Final answer
   x = 178,308.13