Finding the Third Proportional to 76,361 and 116,162

Step by Step Solution

1. Step 1: Write the proportion equation
   76,361 : 116,162 = 116,162 : x
2. Step 2: Convert to fraction form
   76,361/116,162 = 116,162/x
3. Step 3: Cross multiply
   76,361x = 116,162 × 116,162
4. Step 4: Simplify right side
   76,361x = 13,493,610,244
5. Step 5: Solve for x
   x = 13,493,610,244/76,361
6. Step 6: Final answer
   x = 176,708.14