Finding the Third Proportional to 116,271 and 164,568

Step by Step Solution

1. Step 1: Write the proportion equation
   116,271 : 164,568 = 164,568 : x
2. Step 2: Convert to fraction form
   116,271/164,568 = 164,568/x
3. Step 3: Cross multiply
   116,271x = 164,568 × 164,568
4. Step 4: Simplify right side
   116,271x = 27,082,626,624
5. Step 5: Solve for x
   x = 27,082,626,624/116,271
6. Step 6: Final answer
   x = 232,926.75