Finding the Third Proportional to 86,592 and 186,144

Step by Step Solution

1. Step 1: Write the proportion equation
   86,592 : 186,144 = 186,144 : x
2. Step 2: Convert to fraction form
   86,592/186,144 = 186,144/x
3. Step 3: Cross multiply
   86,592x = 186,144 × 186,144
4. Step 4: Simplify right side
   86,592x = 34,649,588,736
5. Step 5: Solve for x
   x = 34,649,588,736/86,592
6. Step 6: Final answer
   x = 400,147.69