Finding the Third Proportional to 83,949 and 184,435

Step by Step Solution

1. Step 1: Write the proportion equation
   83,949 : 184,435 = 184,435 : x
2. Step 2: Convert to fraction form
   83,949/184,435 = 184,435/x
3. Step 3: Cross multiply
   83,949x = 184,435 × 184,435
4. Step 4: Simplify right side
   83,949x = 34,016,269,225
5. Step 5: Solve for x
   x = 34,016,269,225/83,949
6. Step 6: Final answer
   x = 405,201.60