Finding the Third Proportional to 83,940 and 184,420

Step by Step Solution

1. Step 1: Write the proportion equation
   83,940 : 184,420 = 184,420 : x
2. Step 2: Convert to fraction form
   83,940/184,420 = 184,420/x
3. Step 3: Cross multiply
   83,940x = 184,420 × 184,420
4. Step 4: Simplify right side
   83,940x = 34,010,736,400
5. Step 5: Solve for x
   x = 34,010,736,400/83,940
6. Step 6: Final answer
   x = 405,179.13