Finding the Third Proportional to 40,380 and 86,320

Step by Step Solution

1. Step 1: Write the proportion equation
   40,380 : 86,320 = 86,320 : x
2. Step 2: Convert to fraction form
   40,380/86,320 = 86,320/x
3. Step 3: Cross multiply
   40,380x = 86,320 × 86,320
4. Step 4: Simplify right side
   40,380x = 7,451,142,400
5. Step 5: Solve for x
   x = 7,451,142,400/40,380
6. Step 6: Final answer
   x = 184,525.57