Finding the Third Proportional to 83,689 and 184,354

Step by Step Solution

1. Step 1: Write the proportion equation
   83,689 : 184,354 = 184,354 : x
2. Step 2: Convert to fraction form
   83,689/184,354 = 184,354/x
3. Step 3: Cross multiply
   83,689x = 184,354 × 184,354
4. Step 4: Simplify right side
   83,689x = 33,986,397,316
5. Step 5: Solve for x
   x = 33,986,397,316/83,689
6. Step 6: Final answer
   x = 406,103.52