Finding the Third Proportional to 86,429 and 184,846

Step by Step Solution

1. Step 1: Write the proportion equation
   86,429 : 184,846 = 184,846 : x
2. Step 2: Convert to fraction form
   86,429/184,846 = 184,846/x
3. Step 3: Cross multiply
   86,429x = 184,846 × 184,846
4. Step 4: Simplify right side
   86,429x = 34,168,043,716
5. Step 5: Solve for x
   x = 34,168,043,716/86,429
6. Step 6: Final answer
   x = 395,330.78