Finding the Third Proportional to 40,398 and 86,293

Step by Step Solution

1. Step 1: Write the proportion equation
   40,398 : 86,293 = 86,293 : x
2. Step 2: Convert to fraction form
   40,398/86,293 = 86,293/x
3. Step 3: Cross multiply
   40,398x = 86,293 × 86,293
4. Step 4: Simplify right side
   40,398x = 7,446,481,849
5. Step 5: Solve for x
   x = 7,446,481,849/40,398
6. Step 6: Final answer
   x = 184,327.98