Finding the Third Proportional to 114,658 and 165,150

Step by Step Solution

1. Step 1: Write the proportion equation
   114,658 : 165,150 = 165,150 : x
2. Step 2: Convert to fraction form
   114,658/165,150 = 165,150/x
3. Step 3: Cross multiply
   114,658x = 165,150 × 165,150
4. Step 4: Simplify right side
   114,658x = 27,274,522,500
5. Step 5: Solve for x
   x = 27,274,522,500/114,658
6. Step 6: Final answer
   x = 237,877.19