Finding the Third Proportional to 88,512 and 188,736

Step by Step Solution

1. Step 1: Write the proportion equation
   88,512 : 188,736 = 188,736 : x
2. Step 2: Convert to fraction form
   88,512/188,736 = 188,736/x
3. Step 3: Cross multiply
   88,512x = 188,736 × 188,736
4. Step 4: Simplify right side
   88,512x = 35,621,277,696
5. Step 5: Solve for x
   x = 35,621,277,696/88,512
6. Step 6: Final answer
   x = 402,445.74