Finding the Third Proportional to 86,936 and 184,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,936 : 184,533.50 = 184,533.50 : x
2. Step 2: Convert to fraction form
   86,936/184,533.50 = 184,533.50/x
3. Step 3: Cross multiply
   86,936x = 184,533.50 × 184,533.50
4. Step 4: Simplify right side
   86,936x = 34,052,612,622.25
5. Step 5: Solve for x
   x = 34,052,612,622.25/86,936
6. Step 6: Final answer
   x = 391,697.49