Finding the Third Proportional to 86,591 and 185,644

Step by Step Solution

1. Step 1: Write the proportion equation
   86,591 : 185,644 = 185,644 : x
2. Step 2: Convert to fraction form
   86,591/185,644 = 185,644/x
3. Step 3: Cross multiply
   86,591x = 185,644 × 185,644
4. Step 4: Simplify right side
   86,591x = 34,463,694,736
5. Step 5: Solve for x
   x = 34,463,694,736/86,591
6. Step 6: Final answer
   x = 398,005.51