Finding the Third Proportional to 83,684 and 117,049

Step by Step Solution

1. Step 1: Write the proportion equation
   83,684 : 117,049 = 117,049 : x
2. Step 2: Convert to fraction form
   83,684/117,049 = 117,049/x
3. Step 3: Cross multiply
   83,684x = 117,049 × 117,049
4. Step 4: Simplify right side
   83,684x = 13,700,468,401
5. Step 5: Solve for x
   x = 13,700,468,401/83,684
6. Step 6: Final answer
   x = 163,716.70