Finding the Third Proportional to 114,440 and 165,099

Step by Step Solution

1. Step 1: Write the proportion equation
   114,440 : 165,099 = 165,099 : x
2. Step 2: Convert to fraction form
   114,440/165,099 = 165,099/x
3. Step 3: Cross multiply
   114,440x = 165,099 × 165,099
4. Step 4: Simplify right side
   114,440x = 27,257,679,801
5. Step 5: Solve for x
   x = 27,257,679,801/114,440
6. Step 6: Final answer
   x = 238,183.15