Finding the Third Proportional to 41,568 and 86,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,568 : 86,092.50 = 86,092.50 : x
2. Step 2: Convert to fraction form
   41,568/86,092.50 = 86,092.50/x
3. Step 3: Cross multiply
   41,568x = 86,092.50 × 86,092.50
4. Step 4: Simplify right side
   41,568x = 7,411,918,556.25
5. Step 5: Solve for x
   x = 7,411,918,556.25/41,568
6. Step 6: Final answer
   x = 178,308.28