Finding the Third Proportional to 89,424 and 186,144

Step by Step Solution

1. Step 1: Write the proportion equation
   89,424 : 186,144 = 186,144 : x
2. Step 2: Convert to fraction form
   89,424/186,144 = 186,144/x
3. Step 3: Cross multiply
   89,424x = 186,144 × 186,144
4. Step 4: Simplify right side
   89,424x = 34,649,588,736
5. Step 5: Solve for x
   x = 34,649,588,736/89,424
6. Step 6: Final answer
   x = 387,475.27