Finding the Third Proportional to 85,344 and 185,736

Step by Step Solution

1. Step 1: Write the proportion equation
   85,344 : 185,736 = 185,736 : x
2. Step 2: Convert to fraction form
   85,344/185,736 = 185,736/x
3. Step 3: Cross multiply
   85,344x = 185,736 × 185,736
4. Step 4: Simplify right side
   85,344x = 34,497,861,696
5. Step 5: Solve for x
   x = 34,497,861,696/85,344
6. Step 6: Final answer
   x = 404,221.29