Finding the Third Proportional to 83,940 and 184,419

Step by Step Solution

1. Step 1: Write the proportion equation
   83,940 : 184,419 = 184,419 : x
2. Step 2: Convert to fraction form
   83,940/184,419 = 184,419/x
3. Step 3: Cross multiply
   83,940x = 184,419 × 184,419
4. Step 4: Simplify right side
   83,940x = 34,010,367,561
5. Step 5: Solve for x
   x = 34,010,367,561/83,940
6. Step 6: Final answer
   x = 405,174.74