Finding the Third Proportional to 83,942.25 and 184,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,942.25 : 184,423.50 = 184,423.50 : x
2. Step 2: Convert to fraction form
   83,942.25/184,423.50 = 184,423.50/x
3. Step 3: Cross multiply
   83,942.25x = 184,423.50 × 184,423.50
4. Step 4: Simplify right side
   83,942.25x = 34,012,027,352.25
5. Step 5: Solve for x
   x = 34,012,027,352.25/83,942.25
6. Step 6: Final answer
   x = 405,183.65