Finding the Third Proportional to 119,133 and 184,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,133 : 184,297.50 = 184,297.50 : x
2. Step 2: Convert to fraction form
   119,133/184,297.50 = 184,297.50/x
3. Step 3: Cross multiply
   119,133x = 184,297.50 × 184,297.50
4. Step 4: Simplify right side
   119,133x = 33,965,568,506.25
5. Step 5: Solve for x
   x = 33,965,568,506.25/119,133
6. Step 6: Final answer
   x = 285,106.30