Finding the Third Proportional to 106,527 and 231,162

Step by Step Solution

1. Step 1: Write the proportion equation
   106,527 : 231,162 = 231,162 : x
2. Step 2: Convert to fraction form
   106,527/231,162 = 231,162/x
3. Step 3: Cross multiply
   106,527x = 231,162 × 231,162
4. Step 4: Simplify right side
   106,527x = 53,435,870,244
5. Step 5: Solve for x
   x = 53,435,870,244/106,527
6. Step 6: Final answer
   x = 501,618.09