Finding the Third Proportional to 86,404 and 184,784

Step by Step Solution

1. Step 1: Write the proportion equation
   86,404 : 184,784 = 184,784 : x
2. Step 2: Convert to fraction form
   86,404/184,784 = 184,784/x
3. Step 3: Cross multiply
   86,404x = 184,784 × 184,784
4. Step 4: Simplify right side
   86,404x = 34,145,126,656
5. Step 5: Solve for x
   x = 34,145,126,656/86,404
6. Step 6: Final answer
   x = 395,179.93