Finding the Third Proportional to 86,589 and 185,640

Step by Step Solution

1. Step 1: Write the proportion equation
   86,589 : 185,640 = 185,640 : x
2. Step 2: Convert to fraction form
   86,589/185,640 = 185,640/x
3. Step 3: Cross multiply
   86,589x = 185,640 × 185,640
4. Step 4: Simplify right side
   86,589x = 34,462,209,600
5. Step 5: Solve for x
   x = 34,462,209,600/86,589
6. Step 6: Final answer
   x = 397,997.55