Finding the Third Proportional to 85,453 and 184,054

Step by Step Solution

1. Step 1: Write the proportion equation
   85,453 : 184,054 = 184,054 : x
2. Step 2: Convert to fraction form
   85,453/184,054 = 184,054/x
3. Step 3: Cross multiply
   85,453x = 184,054 × 184,054
4. Step 4: Simplify right side
   85,453x = 33,875,874,916
5. Step 5: Solve for x
   x = 33,875,874,916/85,453
6. Step 6: Final answer
   x = 396,426.98