Finding the Third Proportional to 40,110 and 85,383

Step by Step Solution

1. Step 1: Write the proportion equation
   40,110 : 85,383 = 85,383 : x
2. Step 2: Convert to fraction form
   40,110/85,383 = 85,383/x
3. Step 3: Cross multiply
   40,110x = 85,383 × 85,383
4. Step 4: Simplify right side
   40,110x = 7,290,256,689
5. Step 5: Solve for x
   x = 7,290,256,689/40,110
6. Step 6: Final answer
   x = 181,756.59