Finding the Third Proportional to 114,653 and 165,142

Step by Step Solution

1. Step 1: Write the proportion equation
   114,653 : 165,142 = 165,142 : x
2. Step 2: Convert to fraction form
   114,653/165,142 = 165,142/x
3. Step 3: Cross multiply
   114,653x = 165,142 × 165,142
4. Step 4: Simplify right side
   114,653x = 27,271,880,164
5. Step 5: Solve for x
   x = 27,271,880,164/114,653
6. Step 6: Final answer
   x = 237,864.51