Finding the Third Proportional to 86,323.50 and 184,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,323.50 : 184,639.50 = 184,639.50 : x
2. Step 2: Convert to fraction form
   86,323.50/184,639.50 = 184,639.50/x
3. Step 3: Cross multiply
   86,323.50x = 184,639.50 × 184,639.50
4. Step 4: Simplify right side
   86,323.50x = 34,091,744,960.25
5. Step 5: Solve for x
   x = 34,091,744,960.25/86,323.50
6. Step 6: Final answer
   x = 394,930.06