Finding the Third Proportional to 40,538 and 88,383

Step by Step Solution

1. Step 1: Write the proportion equation
   40,538 : 88,383 = 88,383 : x
2. Step 2: Convert to fraction form
   40,538/88,383 = 88,383/x
3. Step 3: Cross multiply
   40,538x = 88,383 × 88,383
4. Step 4: Simplify right side
   40,538x = 7,811,554,689
5. Step 5: Solve for x
   x = 7,811,554,689/40,538
6. Step 6: Final answer
   x = 192,697.09