Finding the Third Proportional to 87,456 and 188,736

Step by Step Solution

1. Step 1: Write the proportion equation
   87,456 : 188,736 = 188,736 : x
2. Step 2: Convert to fraction form
   87,456/188,736 = 188,736/x
3. Step 3: Cross multiply
   87,456x = 188,736 × 188,736
4. Step 4: Simplify right side
   87,456x = 35,621,277,696
5. Step 5: Solve for x
   x = 35,621,277,696/87,456
6. Step 6: Final answer
   x = 407,305.13