Finding the Third Proportional to 106,888 and 165,500

Step by Step Solution

1. Step 1: Write the proportion equation
   106,888 : 165,500 = 165,500 : x
2. Step 2: Convert to fraction form
   106,888/165,500 = 165,500/x
3. Step 3: Cross multiply
   106,888x = 165,500 × 165,500
4. Step 4: Simplify right side
   106,888x = 27,390,250,000
5. Step 5: Solve for x
   x = 27,390,250,000/106,888
6. Step 6: Final answer
   x = 256,251.87