Finding the Third Proportional to 83,944.50 and 184,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,944.50 : 184,426.50 = 184,426.50 : x
2. Step 2: Convert to fraction form
   83,944.50/184,426.50 = 184,426.50/x
3. Step 3: Cross multiply
   83,944.50x = 184,426.50 × 184,426.50
4. Step 4: Simplify right side
   83,944.50x = 34,013,133,902.25
5. Step 5: Solve for x
   x = 34,013,133,902.25/83,944.50
6. Step 6: Final answer
   x = 405,185.97