Finding the Third Proportional to 40,569 and 86,412

Step by Step Solution

1. Step 1: Write the proportion equation
   40,569 : 86,412 = 86,412 : x
2. Step 2: Convert to fraction form
   40,569/86,412 = 86,412/x
3. Step 3: Cross multiply
   40,569x = 86,412 × 86,412
4. Step 4: Simplify right side
   40,569x = 7,467,033,744
5. Step 5: Solve for x
   x = 7,467,033,744/40,569
6. Step 6: Final answer
   x = 184,057.62