Finding the Third Proportional to 40,144 and 88,233

Step by Step Solution

1. Step 1: Write the proportion equation
   40,144 : 88,233 = 88,233 : x
2. Step 2: Convert to fraction form
   40,144/88,233 = 88,233/x
3. Step 3: Cross multiply
   40,144x = 88,233 × 88,233
4. Step 4: Simplify right side
   40,144x = 7,785,062,289
5. Step 5: Solve for x
   x = 7,785,062,289/40,144
6. Step 6: Final answer
   x = 193,928.41