Finding the Third Proportional to 113,665 and 165,500

Step by Step Solution

1. Step 1: Write the proportion equation
   113,665 : 165,500 = 165,500 : x
2. Step 2: Convert to fraction form
   113,665/165,500 = 165,500/x
3. Step 3: Cross multiply
   113,665x = 165,500 × 165,500
4. Step 4: Simplify right side
   113,665x = 27,390,250,000
5. Step 5: Solve for x
   x = 27,390,250,000/113,665
6. Step 6: Final answer
   x = 240,973.47