Finding the Third Proportional to 78,361 and 174,162

Step by Step Solution

1. Step 1: Write the proportion equation
   78,361 : 174,162 = 174,162 : x
2. Step 2: Convert to fraction form
   78,361/174,162 = 174,162/x
3. Step 3: Cross multiply
   78,361x = 174,162 × 174,162
4. Step 4: Simplify right side
   78,361x = 30,332,402,244
5. Step 5: Solve for x
   x = 30,332,402,244/78,361
6. Step 6: Final answer
   x = 387,085.44