Finding the Third Proportional to 83,782 and 184,474

Step by Step Solution

1. Step 1: Write the proportion equation
   83,782 : 184,474 = 184,474 : x
2. Step 2: Convert to fraction form
   83,782/184,474 = 184,474/x
3. Step 3: Cross multiply
   83,782x = 184,474 × 184,474
4. Step 4: Simplify right side
   83,782x = 34,030,656,676
5. Step 5: Solve for x
   x = 34,030,656,676/83,782
6. Step 6: Final answer
   x = 406,181.00