Finding the Third Proportional to 40,404 and 86,424

Step by Step Solution

1. Step 1: Write the proportion equation
   40,404 : 86,424 = 86,424 : x
2. Step 2: Convert to fraction form
   40,404/86,424 = 86,424/x
3. Step 3: Cross multiply
   40,404x = 86,424 × 86,424
4. Step 4: Simplify right side
   40,404x = 7,469,107,776
5. Step 5: Solve for x
   x = 7,469,107,776/40,404
6. Step 6: Final answer
   x = 184,860.60