Finding the Third Proportional to 86,441 and 184,870

Step by Step Solution

1. Step 1: Write the proportion equation
   86,441 : 184,870 = 184,870 : x
2. Step 2: Convert to fraction form
   86,441/184,870 = 184,870/x
3. Step 3: Cross multiply
   86,441x = 184,870 × 184,870
4. Step 4: Simplify right side
   86,441x = 34,176,916,900
5. Step 5: Solve for x
   x = 34,176,916,900/86,441
6. Step 6: Final answer
   x = 395,378.55