Finding the Third Proportional to 41,412 and 86,664

Step by Step Solution

1. Step 1: Write the proportion equation
   41,412 : 86,664 = 86,664 : x
2. Step 2: Convert to fraction form
   41,412/86,664 = 86,664/x
3. Step 3: Cross multiply
   41,412x = 86,664 × 86,664
4. Step 4: Simplify right side
   41,412x = 7,510,648,896
5. Step 5: Solve for x
   x = 7,510,648,896/41,412
6. Step 6: Final answer
   x = 181,364.07