Finding the Third Proportional to 40,896 and 88,238

Step by Step Solution

1. Step 1: Write the proportion equation
   40,896 : 88,238 = 88,238 : x
2. Step 2: Convert to fraction form
   40,896/88,238 = 88,238/x
3. Step 3: Cross multiply
   40,896x = 88,238 × 88,238
4. Step 4: Simplify right side
   40,896x = 7,785,944,644
5. Step 5: Solve for x
   x = 7,785,944,644/40,896
6. Step 6: Final answer
   x = 190,384.01