Finding the Third Proportional to 52,189 and 116,330

Step by Step Solution

1. Step 1: Write the proportion equation
   52,189 : 116,330 = 116,330 : x
2. Step 2: Convert to fraction form
   52,189/116,330 = 116,330/x
3. Step 3: Cross multiply
   52,189x = 116,330 × 116,330
4. Step 4: Simplify right side
   52,189x = 13,532,668,900
5. Step 5: Solve for x
   x = 13,532,668,900/52,189
6. Step 6: Final answer
   x = 259,301.17