Finding the Third Proportional to 116,892 and 165,400

Step by Step Solution

1. Step 1: Write the proportion equation
   116,892 : 165,400 = 165,400 : x
2. Step 2: Convert to fraction form
   116,892/165,400 = 165,400/x
3. Step 3: Cross multiply
   116,892x = 165,400 × 165,400
4. Step 4: Simplify right side
   116,892x = 27,357,160,000
5. Step 5: Solve for x
   x = 27,357,160,000/116,892
6. Step 6: Final answer
   x = 234,037.92