Finding the Third Proportional to 40,905 and 88,256

Step by Step Solution

1. Step 1: Write the proportion equation
   40,905 : 88,256 = 88,256 : x
2. Step 2: Convert to fraction form
   40,905/88,256 = 88,256/x
3. Step 3: Cross multiply
   40,905x = 88,256 × 88,256
4. Step 4: Simplify right side
   40,905x = 7,789,121,536
5. Step 5: Solve for x
   x = 7,789,121,536/40,905
6. Step 6: Final answer
   x = 190,419.79